School learnersCompare and transformExample · 4 steps · 8 min

Fraction Equivalence Machine

Four short rounds with strips, pizzas, cakes and classes: decide when two fractions name the same amount, and when the whole changes everything.

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Finish

Step 1 of 4

Strip A shows 3/4. Strip B is the same length, cut into 8 equal parts, with 6 filled. What is true?

B shows more, because 6 filled parts are more than 3.B shows the same amount: 6/8 is as much as 3/4.B shows less, because eighths are smaller than quarters.

Show a hint

Compare where the filled part ends in each strip.

About this activity

What you practise: You compared filled shares, expanded and simplified fractions, and checked whether two fractions refer to the same whole.

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Strip A shows 3/4. Strip B is the same length, cut into 8 equal parts, with 6 filled. What is true? Both strips are the same length. Strip A is split into 4 equal parts with 3 filled. Strip B is split into 8 equal parts with 6 filled. The bars show how far each strip is filled. Both bars end at the same point. Each quarter of A is split into two eighths in B, so 3 quarters become 6 eighths.