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Why does my child solve x/3 = 5 as x = 5/3?

Your child divides to undo a division, instead of multiplying.

Why children do it

x/3 means x divided by 3, so undoing it means multiplying by 3. Children who divide again are copying the operation they can see, rather than undoing it. x/3 = 5 means a third of x is 5, so x = 15.

How to help at home

Ask what undoes dividing. Multiplying does: x/3 = 5 becomes x = 5 × 3.

The right way

Solve: x/3 + 4 = 9

  1. x/3 = 5Subtract 4 from both sides.
  2. x = 15Multiply both sides by 3.

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