Compare 42/28 and 49/32
1st number: 1 14/28, 2nd number: 1 17/32
42/28 is smaller than 49/32
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,
42/28 = 42 × 8/28 × 8 = 336/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
49/32 = 49 × 7/32 × 7 = 343/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/224 < 343/224 or 42/28 < 49/32
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