Comparing & Ordering FractionsATI TEAS 7 cheat sheet

Three ways to tell which is bigger

9 key facts Reviewed Oct 2026

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Methods

Common denominator — convert, then compare numerators
Cross-multiply — 2/3 vs 3/5 → 2×5=10 vs 3×3=9, so 2/3 is larger
Convert to decimals — divide top by bottom

Shortcuts

Same denominator → bigger numerator wins
Same numerator → smaller denominator wins (1/3 > 1/5)
Compare each to 1/2 as a benchmark

Ordering

Put them all over one denominator, then line up the numerators
Watch negatives — −1/2 is less than −1/4

On Test Day

Decimals are fastest when the choices are mixed fractions and decimals

Key takeaway

Three ways to tell which is bigger

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