Compare 9/28 and 14/32
9/28 is smaller than 14/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 28 × 8 = 224,
9/28 = 9 × 8/28 × 8 = 72/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
14/32 = 14 × 7/32 × 7 = 98/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/224 < 98/224 or 9/28 < 14/32
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