Compare 2/7 and 15/16
2/7 is smaller than 15/16
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,
2/7 = 2 × 16/7 × 16 = 32/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
15/16 = 15 × 7/16 × 7 = 105/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/112 < 105/112 or 2/7 < 15/16
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