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Compare · equivalent values · order 3

Comparing & Ordering Fractions Worksheet Generator

Generate comparison problems with <, >, and =, or switch to three-fraction ordering practice. Exact integer cross-products keep the answer key reliable even when denominators differ.

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Comparing Fractions

Compare · denominator ≤ 12
Seed 260910 · US Letter
1.1/2 [ < > = ] 1/4
2.1/2 [ < > = ] 1/2
3.1/7 [ < > = ] 2/7
4.8/12 [ < > = ] 1/4
5.7/10 [ < > = ] 1/10
6.1/3 [ < > = ] 3/9
7.5/7 [ < > = ] 2/7
8.4/6 [ < > = ] 8/12
9.1/5 [ < > = ] 3/6
10.1/6 [ < > = ] 2/6
11.2/7 [ < > = ] 4/9
12.1/4 [ < > = ] 2/8
13.1/11 [ < > = ] 4/11
14.1/6 [ < > = ] 2/6
15.1/3 [ < > = ] 2/3
16.6/7 [ < > = ] 2/7
17.3/4 [ < > = ] 1/3
18.10/11 [ < > = ] 4/11
19.1/8 [ < > = ] 1/2
20.5/6 [ < > = ] 2/3
Exact-fraction rule: comparisons use cross-products, operation answers reduce to lowest terms, and mixed-number conversions use exact improper-fraction arithmetic. Subtraction is generated non-negative.

Why exact comparison matters

The worksheet does not compare rendered strings or rounded decimal approximations. For a/b and c/d, it compares a×d with c×b. That preserves exact equality and prevents close fractions from being misclassified.

Frequently asked questions

How are fractions compared?

The generator compares cross-products, so close fractions and equivalent fractions are checked exactly without converting to rounded decimals.

Can comparison include equivalent fractions?

Yes. Some comparison problems deliberately use different-looking fractions with the same value so students must recognize the equals sign.

What does Order 3 mean?

Each problem gives three distinct fraction values to arrange from least to greatest.

Can I control like and unlike denominators?

Compare mode can use like denominators, unlike denominators, or a mix. Ordering draws varied denominators within the chosen ceiling.

Is there an answer key?

Yes. The PDF can include a separate answer page with the correct comparison symbol or ordered sequence.