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Why does my child take 3/5 of $40 to share it in the ratio 3:5?

Your child treats one part of a ratio as a fraction of the total, such as taking 3/5 of $40 to share it 3:5.

Why children do it

A ratio like 3:5 looks like the fraction 3/5, so children use it as one. But 3:5 means 3 parts for one and 5 parts for the other: 8 parts in all. The first share is 3/8 of the total, which is $15.

How to help at home

Draw the ratio as boxes: 3:5 is 3 boxes and 5 boxes, so 8 boxes share the total.

The right way

Share $50 in the ratio 1:4. How much is the smaller share?

  1. 1 + 4 = 5There are 5 shares in all.
  2. 50 ÷ 5 = 10One share is $10.
  3. $10The smaller part is 1 share.

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