Compare 21/32 and 14/28
21/32 is greater than 14/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 28 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
21/32 = 21 × 7/32 × 7 = 147/224 - Likewise, for the 2nd fraction, since 28 × 8 = 224,
14/28 = 14 × 8/28 × 8 = 112/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/224 > 112/224 or 21/32 > 14/28
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