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13 Jul 2022

4 pages

Fun with Ratios: Share Money and Simplify Ratios with Easy Examples

user profile picture

Agnese

@agnese_ujil

Sharing money using ratiosis a crucial mathematical skill with... Show more

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Page 2: Simplifying Ratios

This page focuses on the process of simplifying ratios and provides various examples and practice problems.

Simplifying ratios involves finding the greatest common factor GCFGCF and dividing both parts of the ratio by it. The page offers tips for identifying divisibility:

Vocabulary: Divisibility rules

  • If a number ends in 0 or 5, it's divisible by 5
  • If a number is even, it's divisible by 2

The page presents multiple examples of simplifying ratios, including:

  • 6:9 simplified to 2:3
  • 15 min : 35 min simplified to 3:7
  • 32 cm : 26 cm simplified to 16:13

Example: Simplify 35:60

  1. Find the GCF: 5
  2. Divide both parts by 5: 35 ÷ 5 = 7, 60 ÷ 5 = 12
  3. Simplified ratio: 7:12

The page also includes practice problems for students to apply the simplification process to various ratios.

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Page 3: Expressing Ratios in the Form 1:n and n:1

This page explains how to express ratios in the form 1:n and n:1, which is useful for comparing ratios and solving real-world problems.

The process for expressing ratios in the form 1:n involves:

  1. Set up the answer with the ratio above 1:n
  2. Divide the ratio by the number within the ratio that has the '1' on its side
  3. State the new ratio 1:norn:11:n or n:1

Definition: 1:n form - A ratio expressed with 1 as the first term and n as a decimal or whole number.

The page provides several examples and practice problems for expressing ratios in both 1:n and n:1 forms.

Example: Express 2:3 in the form 1:n

  1. Set up: 2:3 / 2:3
  2. Divide: 2 ÷ 2 = 1, 3 ÷ 2 = 1.5
  3. Result: 1:1.5

Students are encouraged to practice with various ratios, including those involving decimals and fractions.

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Page 4: Additional Practice Problems

The final page offers additional practice problems for expressing ratios in the forms 1:n and n:1. These exercises reinforce the concepts learned in the previous pages and provide students with more opportunities to apply their skills.

Highlight: Practicing with a variety of ratio problems helps students develop confidence and proficiency in working with ratios in different forms.

The page includes ratios such as:

  • 19:20 to be expressed as n:1
  • 207:50 to be expressed as n:1
  • 38:55 to be expressed as 1:n

By working through these problems, students can solidify their understanding of ratio manipulation and prepare for more complex applications in real-world scenarios.

Example: Express 207:50 as n:1

  1. Divide 207 by 50: 207 ÷ 50 = 4.14
  2. Result: 4.14:1

This comprehensive guide on sharing money using ratios and simplifying ratios provides students with the necessary tools to tackle ratio problems confidently in their academic and everyday lives.

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Page 1: Sharing Money Using Ratios

This page introduces the concept of sharing money using ratios with examples and practice problems.

The process of sharing money using ratios involves three main steps:

  1. Add together the total parts in the ratio
  2. Divide the given quantity by the total number of parts
  3. Multiply what one part equals by the parts in the ratio

Example: Share $30 in the ratio 2:3

  1. Total parts: 2 + 3 = 5
  2. Value of one part: 30÷5=30 ÷ 5 = 6
  3. Final distribution: 2 parts = 12,3parts=12, 3 parts = 18

The page provides additional examples, including sharing 100intheratio9:3:8and100 in the ratio 9:3:8 and 200 in the ratio 2:3:5.

Highlight: When sharing money in ratios, the value of one part can be a decimal.

Practice problems are included for students to apply the learned concepts, such as sharing £40 in the ratio 3:7 and £111 in the ratio 1:7.



Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

 

Maths

179

13 Jul 2022

4 pages

Fun with Ratios: Share Money and Simplify Ratios with Easy Examples

user profile picture

Agnese

@agnese_ujil

Sharing money using ratios is a crucial mathematical skill with real-life applications. This guide provides step-by-step instructions, examples, and practice problems for simplifying ratios and expressing them in various forms, including 1:n and n:1.

  • Learn how to share money in... Show more

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: Simplifying Ratios

This page focuses on the process of simplifying ratios and provides various examples and practice problems.

Simplifying ratios involves finding the greatest common factor GCFGCF and dividing both parts of the ratio by it. The page offers tips for identifying divisibility:

Vocabulary: Divisibility rules

  • If a number ends in 0 or 5, it's divisible by 5
  • If a number is even, it's divisible by 2

The page presents multiple examples of simplifying ratios, including:

  • 6:9 simplified to 2:3
  • 15 min : 35 min simplified to 3:7
  • 32 cm : 26 cm simplified to 16:13

Example: Simplify 35:60

  1. Find the GCF: 5
  2. Divide both parts by 5: 35 ÷ 5 = 7, 60 ÷ 5 = 12
  3. Simplified ratio: 7:12

The page also includes practice problems for students to apply the simplification process to various ratios.

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Expressing Ratios in the Form 1:n and n:1

This page explains how to express ratios in the form 1:n and n:1, which is useful for comparing ratios and solving real-world problems.

The process for expressing ratios in the form 1:n involves:

  1. Set up the answer with the ratio above 1:n
  2. Divide the ratio by the number within the ratio that has the '1' on its side
  3. State the new ratio 1:norn:11:n or n:1

Definition: 1:n form - A ratio expressed with 1 as the first term and n as a decimal or whole number.

The page provides several examples and practice problems for expressing ratios in both 1:n and n:1 forms.

Example: Express 2:3 in the form 1:n

  1. Set up: 2:3 / 2:3
  2. Divide: 2 ÷ 2 = 1, 3 ÷ 2 = 1.5
  3. Result: 1:1.5

Students are encouraged to practice with various ratios, including those involving decimals and fractions.

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 4: Additional Practice Problems

The final page offers additional practice problems for expressing ratios in the forms 1:n and n:1. These exercises reinforce the concepts learned in the previous pages and provide students with more opportunities to apply their skills.

Highlight: Practicing with a variety of ratio problems helps students develop confidence and proficiency in working with ratios in different forms.

The page includes ratios such as:

  • 19:20 to be expressed as n:1
  • 207:50 to be expressed as n:1
  • 38:55 to be expressed as 1:n

By working through these problems, students can solidify their understanding of ratio manipulation and prepare for more complex applications in real-world scenarios.

Example: Express 207:50 as n:1

  1. Divide 207 by 50: 207 ÷ 50 = 4.14
  2. Result: 4.14:1

This comprehensive guide on sharing money using ratios and simplifying ratios provides students with the necessary tools to tackle ratio problems confidently in their academic and everyday lives.

Review - Maths (10272)
Sharing a
Model 1
Share $30 in the
cativo 2:3
• Add together the total parts in the ratio
2 + 3 = 5 + tatal parts
3 D

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Sharing Money Using Ratios

This page introduces the concept of sharing money using ratios with examples and practice problems.

The process of sharing money using ratios involves three main steps:

  1. Add together the total parts in the ratio
  2. Divide the given quantity by the total number of parts
  3. Multiply what one part equals by the parts in the ratio

Example: Share $30 in the ratio 2:3

  1. Total parts: 2 + 3 = 5
  2. Value of one part: 30÷5=30 ÷ 5 = 6
  3. Final distribution: 2 parts = 12,3parts=12, 3 parts = 18

The page provides additional examples, including sharing 100intheratio9:3:8and100 in the ratio 9:3:8 and 200 in the ratio 2:3:5.

Highlight: When sharing money in ratios, the value of one part can be a decimal.

Practice problems are included for students to apply the learned concepts, such as sharing £40 in the ratio 3:7 and £111 in the ratio 1:7.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user