What are equivalent fractions?

Equivalent fractions look different but stand for the same amount. One half, 1/2, can also be written 2/4 or 5/10. You make one by multiplying or dividing the top and the bottom by the same number, so 7/10 becomes 70/100 when both are multiplied by 10. Simplifying runs the other way: divide both parts of 10/15 by 5 and you get 2/3.

How do you add fractions with different denominators?

To add fractions with different denominators, first rewrite them over a shared bottom number. For 2/3 + 1/4, both 3 and 4 fit into 12, so 2/3 becomes 8/12 and 1/4 becomes 3/12. Now the parts are the same size, and you add only the tops: 8/12 + 3/12 = 11/12. The bottom stays 12, because adding does not change the size of the parts.

Which fractions should kids know as decimals and percents?

A few fractions come up so often that it pays to learn fractions like these by heart. Percent means out of 100, so one half, 1/2, is 0.5 or 50%. One quarter, 1/4, is 0.25 or 25%, and three quarters, 3/4, is 0.75 or 75%. One tenth, 1/10, is 0.1 or 10%. Others follow from these: 3/10 is three tenths, so 0.3 or 30%.

Why does my child think 1/8 is bigger than 1/4?

Many children think 1/8 is bigger than 1/4 because 8 is bigger than 4. In a fraction, though, the bottom number counts how many parts share the whole, so more parts means smaller ones. Cut two equal paper strips, one into 4 parts and one into 8, and lay one part of each side by side. The eighth is half the size of the quarter.

Is this fraction game free to use with a class?

Yes, teachers pay nothing for the fraction levels: pupils open the page on any tablet or laptop and play at once, with no signup and no download. On the board, draw a strip of 12 equal boxes and have pupils shade 1/2, 1/3, 1/4 and 1/6 of it in turn. Then ask which two of those fractions add up to 3/4. For whole classes, the schools plan adds per-student pricing and a teacher dashboard that tracks who is improving.

Math practice · reimagined

Fractions Game

This fraction fighting game runs from counting how many quarters fit in 3 wholes to turning 3/8 into 0.375. Crack each fraction a moment sooner than your rival, and that moment becomes a punch.

Ages 4–99+ · no download · plays in your browser · 23 languages

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What is a fraction?

A fraction is a number that names equal parts of one whole, written with a line, like 3/4, three quarters. The number under the line, the denominator, says how many equal parts make the whole. The number above it, the numerator, counts the parts you mean. Fold a paper strip into 4 equal parts and colour 3 to see 3/4.

Every level of Fractions

Example: how many 1/8 in 3 wholes?

The 8 at the bottom of 1/8, one eighth, says each whole is cut into 8 equal parts.
One whole holds 8 eighths, so 3 wholes hold three groups of 8.
Three groups of 8 make 3 × 8 = 24.
There are 24 eighths in 3 wholes, so you type 24.

Learn it step by step

A fraction is a slice of something. The bottom number says how many equal pieces you cut; the top says how many you take.

To find 3/4 of 20: cut 20 into 4 equal parts (each is 5), then take 3 of them → 15. Divide by the bottom, multiply by the top.

Type how much that slice is worth.

Tips and common mistakes

The line in a fraction is a division sign lying down. So 12/4 means 12 ÷ 4, which is 3, and 1/8 means 1 ÷ 8, which is 0.125.
A common mistake is writing 7/100 as 0.7, which is seven tenths. Hundredths need two places after the point, so seven hundredths is 0.07.
For fractions practice off the screen, break a chocolate bar of 12 squares. How many squares make 1/3 of it? How many make 3/4? The answers are 4 and 9.

How to play

Every round wants a single number on the keypad: 21 for 3/4 of 28, or just the missing top of 3/4 − 1/6 = ?/12, which is 7. Later levels add a decimal point for answers like 0.375. Beat your rival to it and Broccoli lands the hit, heavier the less time you needed.

— Quick answers —

Fractions: the short FAQ

What are equivalent fractions?: Equivalent fractions look different but stand for the same amount. One half, 1/2, can also be written 2/4 or 5/10. You make one by multiplying or dividing the top and the bottom by the same number, so 7/10 becomes 70/100 when both are multiplied by 10. Simplifying runs the other way: divide both parts of 10/15 by 5 and you get 2/3.
How do you add fractions with different denominators?: To add fractions with different denominators, first rewrite them over a shared bottom number. For 2/3 + 1/4, both 3 and 4 fit into 12, so 2/3 becomes 8/12 and 1/4 becomes 3/12. Now the parts are the same size, and you add only the tops: 8/12 + 3/12 = 11/12. The bottom stays 12, because adding does not change the size of the parts.
Which fractions should kids know as decimals and percents?: A few fractions come up so often that it pays to learn fractions like these by heart. Percent means out of 100, so one half, 1/2, is 0.5 or 50%. One quarter, 1/4, is 0.25 or 25%, and three quarters, 3/4, is 0.75 or 75%. One tenth, 1/10, is 0.1 or 10%. Others follow from these: 3/10 is three tenths, so 0.3 or 30%.
Why does my child think 1/8 is bigger than 1/4?: Many children think 1/8 is bigger than 1/4 because 8 is bigger than 4. In a fraction, though, the bottom number counts how many parts share the whole, so more parts means smaller ones. Cut two equal paper strips, one into 4 parts and one into 8, and lay one part of each side by side. The eighth is half the size of the quarter.
Is this fraction game free to use with a class?: Yes, teachers pay nothing for the fraction levels: pupils open the page on any tablet or laptop and play at once, with no signup and no download. On the board, draw a strip of 12 equal boxes and have pupils shade 1/2, 1/3, 1/4 and 1/6 of it in turn. Then ask which two of those fractions add up to 3/4. For whole classes, the schools plan adds per-student pricing and a teacher dashboard that tracks who is improving.

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