Comparing Fractions Flashcards

Grade 4 · Math · Flashcards

Key strategies and examples for comparing fractions.

Flashcards

Same denominator comparison rule
Compare numerators. Bigger numerator = bigger fraction.
Same numerator comparison rule
Smaller denominator = bigger fraction (larger slice size).
Benchmark: greater than 1/2?
A fraction is > 1/2 when its numerator is more than half the denominator.
3/5 vs 3/8
3/5 > 3/8 (same numerator; 5 < 8 means fifths are bigger pieces)
2/3 vs 3/4
Convert to 12ths: 8/12 vs 9/12. So 3/4 > 2/3.
5/6 vs 7/8
Convert to 24ths: 20/24 vs 21/24. So 7/8 > 5/6.
1/2 as a benchmark
Compare fractions to 1/2 to quickly estimate their size.
Are 2/4 and 1/2 equal?
Yes — 2/4 simplifies to 1/2. They are equivalent fractions.
7/10 vs 1/2
7/10 > 1/2 because 7 > 5 (half of 10).
Ordering fractions
Convert to a common denominator, then compare numerators to sort least to greatest.
4/5 vs 6/8
4/5 = 0.8 and 6/8 = 0.75. So 4/5 > 6/8.
Common denominator
A shared denominator found by identifying the least common multiple of both denominators.

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