Pomer ti pomôže porovnávať čísla a množstvá okolo teba -... Show more
Matematika
Slovenský jazyk
AngličtinaSign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
42
•
Updated Mar 27, 2026
•
Čo je pomer a ako ho zapísať správne
1 / 5
Čo je pomer a ako funguje
Predstav si, že v tvojej triede je 10 dievčat a 15 chlapcov. Pomer ti povie, aký je medzi nimi vzťah - zapisuješ ho pomocou dvojbodky ako 10:15.
Členy pomeru jsou tie čísla, ktoré porovnávaš. Prvé číslo je prvý člen, druhé je druhý člen. Pozor - poradie je mega dôležité! Pomer 10:15 nie je to isté ako 15:10.
Rovnako ako zlomky, aj pomery môžeš krátiť (zjednodušovať) alebo rozširovať (zväčšovať). Základný tvar pomeru je vtedy, keď sa už nedá ďalej krátiť - ako zlomok v základnom tvare.
💡 Tip: Pomer je vlastne zlomok zapísaný inak - pomer 3:5 je to isté ako zlomok 3/5!
Ako krátiť a rozširovať pomery
Chceš zjednodušiť pomer 10:15? Je to jednoduché! Nájdeš najväčšieho spoločného deliteľa (NSD) oboch čísel - tu je to 5. Potom obidve čísla vydelíš pätkou: 10÷5=2 a 15÷5=3. Výsledok je 2:3.
Pri rozširovaní robíš opak - oba členy násobíš rovnakým číslom. Ak pomer 2:3 vynásobíš štvorkou, dostaneš 8:12. Hodnota pomeru sa nezmení, len jeho zápis.
Keď pracuješ s pomermi s jednotkami, dávaj si pozor! Ak máš 20 cm : 1 m, najprv preveď metre na centimetre , potom dostaneš 20:100, čo sa zkráti na 1:5.
⚠️ Pozor: Ak sú jednotky rôzne, vždy ich najprv preveď na rovnaké!
Praktické príklady s pomermi
Skúsme si riešenie pomeru 24:36. Delitele 24 sú 1,2,3,4,6,8,12,24 a delitele 36 sú 1,2,3,4,6,9,12,18,36. Najväčší spoločný deliteľ je 12, takže 24÷12=2 a 36÷12=3. Základný tvar je 2:3.
Pri rôznych jednotkách ako 500 g : 2 kg musíš previesť kilogramy na gramy. 2 kg = 2000 g, takže máš 500:2000. Po krátení sto-násobkom dostaneš 5:20, čo sa ďalej krá na 1:4.
Textové úlohy sú tiež easy. Ak je v triede 16 chlapcov a 12 dievčat, pomer chlapcov k dievčatám je 16:12, čo sa zkráti na 4:3. Pre pomer dievčat k celkovému počtu žiakov (28) máš 12:28 = 3:7.
📝 Užitočné: Pomery s tromi a viacerými členmi (napr. 2:3:5) krátis rovnako - všetky členy delíš rovnakým číslom.
Dôležité pravidlá a tipy na testy
Poradie členov je absolútne kľúčové! Keď úloha hovorí "pomer dievčat k chlapcom", prvé napíš dievčatá, potom chlapcov. A:B je úplne iné ako B:A.
Základný tvar je tvoj cieľ - vždy sa snaž pomer zjednodušiť, ak úloha nevyžaduje inak. Je to presne ako pri zlomkoch, ktoré tiež dávaš do základného tvaru.
Pri jednotkách si dávaj extra pozor. Rôzne jednotky najprv preveď na rovnaké, inak bude výsledok zlý. A nezabudni - pomer je bezrozmerné číslo, takže keď máš rovnaké jednotky, "zrušia" sa.
Pomer a zlomok sú vlastne to isté, len inak zapísané. Pomer a:b je ako zlomok a/b. Preto sa aj krátia rovnako a môžeš medzi nimi ľahko prechádzať.
✅ Pre test: Žiadny člen pomeru nesmie byť nula (nemôžeš deliť nulou) a vždy skontroluj, či si správne pochopil poradie členov!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Matematika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
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 Knowunity AI. 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 Knowunity AI. 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
Čo je pomer a ako ho zapísať správne
Pomer ti pomôže porovnávať čísla a množstvá okolo teba - od receptov cez miešanie farieb až po mapy. Je to vlastne spôsob, ako zistiť, koľkokrát je jedna vec väčšia alebo menšia ako druhá.
Čo je pomer a ako funguje
Predstav si, že v tvojej triede je 10 dievčat a 15 chlapcov. Pomer ti povie, aký je medzi nimi vzťah - zapisuješ ho pomocou dvojbodky ako 10:15.
Členy pomeru jsou tie čísla, ktoré porovnávaš. Prvé číslo je prvý člen, druhé je druhý člen. Pozor - poradie je mega dôležité! Pomer 10:15 nie je to isté ako 15:10.
Rovnako ako zlomky, aj pomery môžeš krátiť (zjednodušovať) alebo rozširovať (zväčšovať). Základný tvar pomeru je vtedy, keď sa už nedá ďalej krátiť - ako zlomok v základnom tvare.
💡 Tip: Pomer je vlastne zlomok zapísaný inak - pomer 3:5 je to isté ako zlomok 3/5!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Ako krátiť a rozširovať pomery
Chceš zjednodušiť pomer 10:15? Je to jednoduché! Nájdeš najväčšieho spoločného deliteľa (NSD) oboch čísel - tu je to 5. Potom obidve čísla vydelíš pätkou: 10÷5=2 a 15÷5=3. Výsledok je 2:3.
Pri rozširovaní robíš opak - oba členy násobíš rovnakým číslom. Ak pomer 2:3 vynásobíš štvorkou, dostaneš 8:12. Hodnota pomeru sa nezmení, len jeho zápis.
Keď pracuješ s pomermi s jednotkami, dávaj si pozor! Ak máš 20 cm : 1 m, najprv preveď metre na centimetre , potom dostaneš 20:100, čo sa zkráti na 1:5.
⚠️ Pozor: Ak sú jednotky rôzne, vždy ich najprv preveď na rovnaké!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Praktické príklady s pomermi
Skúsme si riešenie pomeru 24:36. Delitele 24 sú 1,2,3,4,6,8,12,24 a delitele 36 sú 1,2,3,4,6,9,12,18,36. Najväčší spoločný deliteľ je 12, takže 24÷12=2 a 36÷12=3. Základný tvar je 2:3.
Pri rôznych jednotkách ako 500 g : 2 kg musíš previesť kilogramy na gramy. 2 kg = 2000 g, takže máš 500:2000. Po krátení sto-násobkom dostaneš 5:20, čo sa ďalej krá na 1:4.
Textové úlohy sú tiež easy. Ak je v triede 16 chlapcov a 12 dievčat, pomer chlapcov k dievčatám je 16:12, čo sa zkráti na 4:3. Pre pomer dievčat k celkovému počtu žiakov (28) máš 12:28 = 3:7.
📝 Užitočné: Pomery s tromi a viacerými členmi (napr. 2:3:5) krátis rovnako - všetky členy delíš rovnakým číslom.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Dôležité pravidlá a tipy na testy
Poradie členov je absolútne kľúčové! Keď úloha hovorí "pomer dievčat k chlapcom", prvé napíš dievčatá, potom chlapcov. A:B je úplne iné ako B:A.
Základný tvar je tvoj cieľ - vždy sa snaž pomer zjednodušiť, ak úloha nevyžaduje inak. Je to presne ako pri zlomkoch, ktoré tiež dávaš do základného tvaru.
Pri jednotkách si dávaj extra pozor. Rôzne jednotky najprv preveď na rovnaké, inak bude výsledok zlý. A nezabudni - pomer je bezrozmerné číslo, takže keď máš rovnaké jednotky, "zrušia" sa.
Pomer a zlomok sú vlastne to isté, len inak zapísané. Pomer a:b je ako zlomok a/b. Preto sa aj krátia rovnako a môžeš medzi nimi ľahko prechádzať.
✅ Pre test: Žiadny člen pomeru nesmie byť nula (nemôžeš deliť nulou) a vždy skontroluj, či si správne pochopil poradie členov!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
0
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Mock Exam
Quiz
Flashcards
Essay
Most popular content in Matematika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
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 Knowunity AI. 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 Knowunity AI. 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