Compare 1/7 and 49/16
1st number: 1/7, 2nd number: 3 1/16
1/7 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 7 × 16 = 112,
1/7 = 1 × 16/7 × 16 = 16/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
49/16 = 49 × 7/16 × 7 = 343/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/112 < 343/112 or 1/7 < 49/16
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