Compare 3/7 and 20/32
3/7 is smaller than 20/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 7 × 32 = 224,
3/7 = 3 × 32/7 × 32 = 96/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
20/32 = 20 × 7/32 × 7 = 140/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/224 < 140/224 or 3/7 < 20/32
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