Subjects

Maths

Number

Fractions

Fun Worksheets: Add, Subtract, Multiply & Divide Fractions and Decimals

Name: Knowunity
Brand: Knowunity

View

Fun Worksheets: Add, Subtract, Multiply & Divide Fractions and Decimals

Poppy

@pgtips23

448 Followers

Top of the class Student

This document provides an overview of decimal and fraction calculations, focusing on the order of operations with decimals and fractions. It covers addition, subtraction, multiplication, and division of decimals and fractions, offering step-by-step explanations and examples for each operation.

The guide emphasizes the importance of aligning decimal points and digits correctly when performing calculations with decimals.
For fractions, it explains how to convert mixed numbers to improper fractions and how to find common denominators for addition and subtraction.
The document also covers multiplication and division of fractions, including the "Keep, Change, Flip" method for division.

25/06/2022

557

$Decimal and fraction Calculation Order of operations with decimals When adding decimals it is quite simple, you just must line up the → deci$

View

Order of Operations with Fractions

This page delves into the intricacies of multiplying and dividing fractions worksheets, focusing on the order of operations when working with fractions. It provides a step-by-step guide for addition, subtraction, multiplication, and division of fractions.

For addition and subtraction of fractions, the document emphasizes the importance of finding a common denominator. It explains that before performing these operations, any mixed numbers should be converted to improper fractions.

Definition: An improper fraction, also known as a top-heavy fraction, is a fraction where the numerator is greater than or equal to the denominator.

The guide then walks through the process of finding the least common multiple (LCM) of the denominators to create equivalent fractions with the same denominator. This step is crucial for accurately adding or subtracting fractions.

Example: To add 2/3 and 1/4, first find the LCM of 3 and 4, which is 12. Then convert each fraction: (2/3 × 4/4) + (1/4 × 3/3) = 8/12 + 3/12 = 11/12

For multiplication of fractions, the document explains that you simply multiply the numerators together and the denominators together, then simplify the result if possible.

Highlight: When multiplying fractions, there's no need to find a common denominator. Simply multiply numerators and denominators separately.

The page also touches on the concept of simplifying fractions after multiplication, which is an important skill for students to master in fraction calculations.

$Decimal and fraction Calculation Order of operations with decimals When adding decimals it is quite simple, you just must line up the → deci$

View

Advanced Fraction Operations

This final page covers more advanced topics in multiplying and dividing mixed fractions worksheets, including the division of fractions and working with mixed numbers in various operations.

The document begins by reiterating the importance of converting mixed numbers to improper fractions before performing any operations. This step is crucial for accurate calculations involving mixed numbers.

Vocabulary: A mixed number is a whole number and a proper fraction combined, such as 3 1/2.

For division of fractions, the guide introduces the "Keep, Change, Flip" method, also known as the reciprocal method. This technique involves keeping the first fraction, changing the division sign to multiplication, and flipping (taking the reciprocal of) the second fraction.

Example: To divide 3/4 by 2/5: (3/4) ÷ (2/5) = (3/4) × (5/2) = 15/8

The document also provides tips for simplifying calculations, such as canceling out common factors before multiplying. This technique can significantly reduce the complexity of the final multiplication step.

Highlight: Look for opportunities to cancel out common factors between numerators and denominators diagonally before multiplying. This can simplify your calculations.

Lastly, the page touches on the order of operations with decimal and fraction calculations worksheet, reminding students to follow the standard order of operations (PEMDAS/BODMAS) when working with complex expressions involving both fractions and decimals.

This comprehensive guide provides students with a solid foundation for performing a wide range of operations with fractions and decimals, preparing them for more advanced mathematical concepts.

$Decimal and fraction Calculation Order of operations with decimals When adding decimals it is quite simple, you just must line up the → deci$

View

Decimal and Fraction Calculations: Order of Operations

This page introduces the fundamental concepts of adding and subtracting decimals worksheets PDF. It explains the proper techniques for aligning decimal points and digits when performing these operations.

For addition of decimals, the guide emphasizes the importance of lining up decimal points and digits correctly. This ensures accurate calculation, especially when dealing with numbers that have different numbers of decimal places.

Example: When adding 48.26 and 3.2, the correct alignment would be: 48.26

03.20 51.46

The same principle applies to subtraction of decimals. The document stresses the need for proper alignment to avoid errors in calculation.

Example: For subtracting 12.7 from 56.91: 56.91

12.70 44.21

The page also covers multiplication of decimals, introducing a method where you multiply the numbers as if they were whole numbers and then place the decimal point in the final answer based on the total number of decimal places in the original factors.

Highlight: When multiplying decimals, count the total number of decimal places in the factors and ensure the answer has the same number of decimal places.

For division of decimals, the guide presents a technique of multiplying both the dividend and divisor by powers of 10 until the divisor becomes a whole number. This transforms the problem into a simpler integer division.

Example: To divide 12.4 by 0.8, multiply both by 10: (12.4 × 10) ÷ (0.8 × 10) = 124 ÷ 8

This approach simplifies decimal division by converting it to whole number division, making the calculation more straightforward for students.

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Number

Fractions

Fun Worksheets: Add, Subtract, Multiply & Divide Fractions and Decimals

Poppy

@pgtips23

448 Followers

Top of the class Student

The guide emphasizes the importance of aligning decimal points and digits correctly when performing calculations with decimals.
For fractions, it explains how to convert mixed numbers to improper fractions and how to find common denominators for addition and subtraction.
The document also covers multiplication and division of fractions, including the "Keep, Change, Flip" method for division.

25/06/2022

557

10/11

Maths

$Decimal and fraction Calculation Order of operations with decimals When adding decimals it is quite simple, you just must line up the → deci$

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Order of Operations with Fractions

Definition: An improper fraction, also known as a top-heavy fraction, is a fraction where the numerator is greater than or equal to the denominator.

Example: To add 2/3 and 1/4, first find the LCM of 3 and 4, which is 12. Then convert each fraction: (2/3 × 4/4) + (1/4 × 3/3) = 8/12 + 3/12 = 11/12

For multiplication of fractions, the document explains that you simply multiply the numerators together and the denominators together, then simplify the result if possible.

Highlight: When multiplying fractions, there's no need to find a common denominator. Simply multiply numerators and denominators separately.

The page also touches on the concept of simplifying fractions after multiplication, which is an important skill for students to master in fraction calculations.

$Decimal and fraction Calculation Order of operations with decimals When adding decimals it is quite simple, you just must line up the → deci$

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Advanced Fraction Operations

This final page covers more advanced topics in multiplying and dividing mixed fractions worksheets, including the division of fractions and working with mixed numbers in various operations.

Vocabulary: A mixed number is a whole number and a proper fraction combined, such as 3 1/2.

Example: To divide 3/4 by 2/5: (3/4) ÷ (2/5) = (3/4) × (5/2) = 15/8

Highlight: Look for opportunities to cancel out common factors between numerators and denominators diagonally before multiplying. This can simplify your calculations.

This comprehensive guide provides students with a solid foundation for performing a wide range of operations with fractions and decimals, preparing them for more advanced mathematical concepts.

$Decimal and fraction Calculation Order of operations with decimals When adding decimals it is quite simple, you just must line up the → deci$

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Decimal and Fraction Calculations: Order of Operations

Example: When adding 48.26 and 3.2, the correct alignment would be: 48.26

03.20 51.46

The same principle applies to subtraction of decimals. The document stresses the need for proper alignment to avoid errors in calculation.

Example: For subtracting 12.7 from 56.91: 56.91

12.70 44.21

Highlight: When multiplying decimals, count the total number of decimal places in the factors and ensure the answer has the same number of decimal places.

Example: To divide 12.4 by 0.8, multiply both by 10: (12.4 × 10) ÷ (0.8 × 10) = 124 ÷ 8

This approach simplifies decimal division by converting it to whole number division, making the calculation more straightforward for students.

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

Fun Worksheets: Add, Subtract, Multiply & Divide Fractions and Decimals

Order of Operations with Fractions

Advanced Fraction Operations

Decimal and Fraction Calculations: Order of Operations

Similar content

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Fun Worksheets: Add, Subtract, Multiply & Divide Fractions and Decimals

Sign up to see the content. It's free!

Order of Operations with Fractions

Sign up to see the content. It's free!

Advanced Fraction Operations

Sign up to see the content. It's free!

Decimal and Fraction Calculations: Order of Operations

Similar content

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.