Compare 9/32 and 5/14
9/32 is smaller than 5/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 14 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
9/32 = 9 × 7/32 × 7 = 63/224 - Likewise, for the 2nd fraction, since 14 × 16 = 224,
5/14 = 5 × 16/14 × 16 = 80/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/224 < 80/224 or 9/32 < 5/14
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