Different fractions can name the same amount: 1/2 = 2/4 = 4/8. Multiply the top and the bottom by the same number and the amount stays put.
Worked example
Fill in the missing number.
Answer:2
The bottom went from 4 to 8 — that’s × 2. Do the same to the top: 1 × 2 = 2. Every piece got split into 2, so the amount didn’t change.
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For grown-ups: Equivalence by multiplying by n/n; generate equivalent fractions. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.
CCSS 4.NF.A.1
What this practises, for teachers
Practices equivalence by multiplying by n/n; generate equivalent fractions (4.NF.A.1). A printable sheet with its answer key, worked answers on the page, no accounts.