Compare 1/16 and 49/56
1/16 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 56 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
1/16 = 1 × 7/16 × 7 = 7/112 - Likewise, for the 2nd fraction, since 56 × 2 = 112,
49/56 = 49 × 2/56 × 2 = 98/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/112 < 98/112 or 1/16 < 49/56
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