Compare 1/7 and 49/32
1st number: 1/7, 2nd number: 1 17/32
1/7 is smaller than 49/32
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,
1/7 = 1 × 32/7 × 32 = 32/224 - 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
- 32/224 < 343/224 or 1/7 < 49/32
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