Zlomky a desatinné čísla stretávaš každý deň - keď si... Show more
Matematika
Slovenský jazyk
AngličtinaSign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
218
•
Updated Mar 12, 2026
•
Zlomky a desatinné čísla - Jednoduchý návod
1 / 6
Prehľad a základné pojmy
Každý zlomok má tri súčasti - čitateľa (číslo hore), menovateľa (číslo dole) a zlomkovú čiaru medzi nimi. Predstav si to ako pizzu: ak je rozdelená na 8 kúskov a ty zješ 3, zjedol si 3/8 pizze.
Desatinné čísla fungují podobne, len používajú desatinnú čiarku namiesto zlomkovej. Číslo 1,50 € znamená jedno euro a päťdesiat centov - jednoduché!
Pamätaj si, že menovateľ nikdy nesmie byť nula a že zlomok môžeš rozšíriť (vynásobiť obe čísla rovnakým číslom) alebo skrátiť (vydeliť obe čísla rovnakým číslom).
Tip: Zlomková čiara vlastne znamená delenie - to ti pomôže pri prevodoch!
Ako fungujú zlomky a desatinné čísla
Zlomok ti hovorí príbeh: menovateľ (spodné číslo) je ako veľkosť kúskov, čitateľ (horné číslo) je koľko takých kúskov máš. Čím väčší menovateľ, tým menšie kúsky!
Pri desatinných číslach má každé miesto za čiarkou svoju hodnotu. Prvé miesto sú desatiny (0,1), druhé stotiny (0,01), tretie tisíciny (0,001). Je to ako peniaze - eurá, desaťcenty, centy.
Základný tvar zlomku je keď už nejde ďalej skrátiť. To je dôležité - na teste musíš výsledok vždy uviesť v základnom tvare!
Nezabudni: Vždy skontroluj, či môžeš zlomok ešte skrátiť!
Prevod zlomku na desatinné číslo
Toto je najjednoduchšia časť! Zlomková čiara znamená delenie, takže stačí vydeliť čitateľa menovateľom. Napríklad 3/4 = 3 ÷ 4 = 0,75.
Niektoré prevody si zapamätaj nazpamäť - ušetrí ti to čas na teste. 1/2 = 0,5, 1/4 = 0,25, 3/4 = 0,75, 1/5 = 0,2.
Ak je menovateľ 10, 100 alebo 1000, je to extra ľahké. 7/10 = 0,7, 23/100 = 0,23. Jednoducho presunď desatinnú čiarku!
Pozor: Ak výsledek nie je konečný , zaokrúhli ho podľa zadania!
Prevod desatinného čísla na zlomok
Tu musíš dávať pozor na počet desatinných miest. Jedno miesto = menovateľ 10, dve miesta = menovateľ 100, tri miesta = menovateľ 1000.
Napríklad 0,25 má dve desatinné miesta, takže je to 25/100. Teraz skrátim na základný tvar: 25/100 = 1/4 (obe čísla vydelím 25).
Pri číslach ako 1,75 rozdeľ to na celú časť (1) a desatinnú časť (0,75). Desatinnú časť preveď na zlomok a pridaj k celej časti: 1 + 3/4 = 1¾.
Dôležité: Vždy skrátim zlomok na základný tvar, inak je to chyba!
Riešené príklady a časté chyby
Skúsme si to: 3/8 na desatinné číslo = 3 ÷ 8 = 0,375. A opačne: 0,6 = 6/10 = 3/5 (skrátil som delením 2).
Najčastejšie chyby: Nezabudnúť skrátiť na základný tvar, pomýliť si čitateľa s menovateľom, alebo zle umiestniť desatinnú čiarku.
Ak máš čas na teste, skontroluj si výsledok tým, že ho prevedieš naspäť. Ak z 3/4 dostaneš 0,75 a z 0,75 zase 3/4, je to správne!
Rada: Nauč sa nazpamäť základné prevody - ušetrí ti to veľa času!
Zhrnutie pre test
Zapamätaj si tieto kľúčové kroky: Zlomok → desatinné číslo = vydeľ čitateľa menovateľom. Desatinné číslo → zlomok = urob zlomok s menovateľom 10/100/1000 podľa počtu desatinných miest, potom skráť.
Základné prevody na zapamätanie: 1/2 = 0,5, 1/4 = 0,25, 3/4 = 0,75, 1/5 = 0,2, 1/10 = 0,1.
Toto všetko budeš potrebovať nielen na test, ale aj v praktickom živote - pri varení, nakupovaní či meraní. Zvládneš to!
Záver: Prevody medzi zlomkami a desatinnými číslami sú jednoduchšie, než vyzerajú!
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
Zlomky a desatinné čísla - Jednoduchý návod
Zlomky a desatinné čísla stretávaš každý deň - keď si delíš čokoládu s kamošmi, počítaš peniaze alebo meriš čas. Sú to len rôzne spôsoby, ako zapísať časť nejakého celku!
Prehľad a základné pojmy
Každý zlomok má tri súčasti - čitateľa (číslo hore), menovateľa (číslo dole) a zlomkovú čiaru medzi nimi. Predstav si to ako pizzu: ak je rozdelená na 8 kúskov a ty zješ 3, zjedol si 3/8 pizze.
Desatinné čísla fungují podobne, len používajú desatinnú čiarku namiesto zlomkovej. Číslo 1,50 € znamená jedno euro a päťdesiat centov - jednoduché!
Pamätaj si, že menovateľ nikdy nesmie byť nula a že zlomok môžeš rozšíriť (vynásobiť obe čísla rovnakým číslom) alebo skrátiť (vydeliť obe čísla rovnakým číslom).
Tip: Zlomková čiara vlastne znamená delenie - to ti pomôže pri prevodoch!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Ako fungujú zlomky a desatinné čísla
Zlomok ti hovorí príbeh: menovateľ (spodné číslo) je ako veľkosť kúskov, čitateľ (horné číslo) je koľko takých kúskov máš. Čím väčší menovateľ, tým menšie kúsky!
Pri desatinných číslach má každé miesto za čiarkou svoju hodnotu. Prvé miesto sú desatiny (0,1), druhé stotiny (0,01), tretie tisíciny (0,001). Je to ako peniaze - eurá, desaťcenty, centy.
Základný tvar zlomku je keď už nejde ďalej skrátiť. To je dôležité - na teste musíš výsledok vždy uviesť v základnom tvare!
Nezabudni: Vždy skontroluj, či môžeš zlomok ešte skrátiť!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Prevod zlomku na desatinné číslo
Toto je najjednoduchšia časť! Zlomková čiara znamená delenie, takže stačí vydeliť čitateľa menovateľom. Napríklad 3/4 = 3 ÷ 4 = 0,75.
Niektoré prevody si zapamätaj nazpamäť - ušetrí ti to čas na teste. 1/2 = 0,5, 1/4 = 0,25, 3/4 = 0,75, 1/5 = 0,2.
Ak je menovateľ 10, 100 alebo 1000, je to extra ľahké. 7/10 = 0,7, 23/100 = 0,23. Jednoducho presunď desatinnú čiarku!
Pozor: Ak výsledek nie je konečný , zaokrúhli ho podľa zadania!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Prevod desatinného čísla na zlomok
Tu musíš dávať pozor na počet desatinných miest. Jedno miesto = menovateľ 10, dve miesta = menovateľ 100, tri miesta = menovateľ 1000.
Napríklad 0,25 má dve desatinné miesta, takže je to 25/100. Teraz skrátim na základný tvar: 25/100 = 1/4 (obe čísla vydelím 25).
Pri číslach ako 1,75 rozdeľ to na celú časť (1) a desatinnú časť (0,75). Desatinnú časť preveď na zlomok a pridaj k celej časti: 1 + 3/4 = 1¾.
Dôležité: Vždy skrátim zlomok na základný tvar, inak je to chyba!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Riešené príklady a časté chyby
Skúsme si to: 3/8 na desatinné číslo = 3 ÷ 8 = 0,375. A opačne: 0,6 = 6/10 = 3/5 (skrátil som delením 2).
Najčastejšie chyby: Nezabudnúť skrátiť na základný tvar, pomýliť si čitateľa s menovateľom, alebo zle umiestniť desatinnú čiarku.
Ak máš čas na teste, skontroluj si výsledok tým, že ho prevedieš naspäť. Ak z 3/4 dostaneš 0,75 a z 0,75 zase 3/4, je to správne!
Rada: Nauč sa nazpamäť základné prevody - ušetrí ti to veľa času!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Zhrnutie pre test
Zapamätaj si tieto kľúčové kroky: Zlomok → desatinné číslo = vydeľ čitateľa menovateľom. Desatinné číslo → zlomok = urob zlomok s menovateľom 10/100/1000 podľa počtu desatinných miest, potom skráť.
Základné prevody na zapamätanie: 1/2 = 0,5, 1/4 = 0,25, 3/4 = 0,75, 1/5 = 0,2, 1/10 = 0,1.
Toto všetko budeš potrebovať nielen na test, ale aj v praktickom živote - pri varení, nakupovaní či meraní. Zvládneš to!
Záver: Prevody medzi zlomkami a desatinnými číslami sú jednoduchšie, než vyzerajú!
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.
1
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