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← Math

Fractions: Equal Parts

Hard⏱ 24 min
A stack of colourful fraction bars split into halves, quarters and eighths
📷 rudykokich · Public Domain

A is a way of of a . If you cut a into , each is a of the .

A whole pizza sliced into equal pieces to show parts of a whole
📷 YoureAGhostBaby · CC BY-SA 4.0
✨

Cut into 2 and each is a . Into 4 and each is a . The be !

We a with two . The (the ) how many in . The top (the ) how many we have. So in 3/4, the 4 the is into 4 , and the 3 we have 3 of them.

Fraction bars3/4
Three quarters: the whole bar is split into 4 equal parts, and 3 of them are shaded.

🔗 Match each fraction to what it means.

  • 1/2

  • 1/4

  • 3/4

  • 1/3

💡

Two make one : 2/4 is the as 1/2. can but be — these are called !

Coloured fraction circles showing a half equal to two quarters
📷 cmglee, jimht at shaw dot ca · CC BY-SA 4.0
Fraction bars1/22/44/8
Equivalent fractions: 1/2, 2/4, and 4/8 all shade exactly the same amount of the bar.

To a of an , by the . To 1/4 of 12, 12 by 4: 12 ÷ 4 = 3. To 3/4 of 12, one (3), then by 3: 3 × 3 = 9. So 3/4 of 12 is 9.

FractionWorkingAnswer
1/2 of 1212 ÷ 26
1/3 of 1212 ÷ 34
1/4 of 1212 ÷ 43
3/4 of 12(12 ÷ 4) × 39
Finding a fraction of 12: divide by the bottom number, then multiply by the top.

✍️ Work out these fractions of amounts.

of 10 is , and one of 20 is .

are made by or the top and by the . 1/2 = 2/4 = 4/8, because you both each . They all the of .

🗂️ Sort each fraction: is it equal to one half, or not?

  • 2/4

  • 3/4

  • 5/10

  • 1/3

✨

When the top and are the , the one . 4/4 = 1, and 8/8 = 1 — you have all the !

A round pie divided into four equal slices with three filled in
📷 Unknown authorUnknown author · Public domain
Pie chart showing 3 of 4 parts shaded3/4
The same three quarters shown as a pie — 3 of the 4 equal slices are filled.

You can with the by at the top . 3/5 is than 2/5 because 3 is more than 2 . And 1/2 is than 1/4, because are than .

🧩 Order these fractions from smallest to largest.

  1. 1 whole (4/4)
  2. 1/2
  3. 1/4
  4. 0 (none)

🃏 Flip a card to check your fraction facts.

Tap each card to see the answer.

Quiz time! 📝

Fractions Quiz

Question 1 of 5

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Cut a into 4 . Each is a...?

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