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Comparing fractions — use the bars to decide

Shaded bars show each fraction, so children can see which is bigger before learning the rules.

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Comparing fractions
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Comparing fractions surprises children: 1/8 is smaller than 1/3, even though 8 is bigger than 3. Fraction bars make the reason visible — the more pieces you cut, the smaller each piece. Each problem shows both fractions as bars of the same length, so children can check their reasoning with their eyes. The levels follow the order teachers use: same denominator, then same numerator, then different denominators, including equivalent fractions such as 2/3 and 4/6.

Best for ages 8–11

How to get the most from these sheets

Frequently asked questions

Why do some problems have the answer “=”?

At the last level some pairs are equivalent fractions, like 2/3 and 4/6: the bars are shaded to exactly the same length.

Are the bars accurate?

Yes, both bars have the same length and are cut into equal parts, so the shaded lengths can be compared directly.

Is there an answer key?

Yes, each comparison is written out with the right sign.

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