Compare 7/14 and 9/16
7/14 is smaller than 9/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 14 × 8 = 112,
7/14 = 7 × 8/14 × 8 = 56/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
9/16 = 9 × 7/16 × 7 = 63/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/112 < 63/112 or 7/14 < 9/16
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