Compare 9/14 and 10/16
914 is greater than 1016
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,
914 = 9 × 814 × 8 = 72112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
1016 = 10 × 716 × 7 = 70112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72112 > 70112 or 914 > 1016
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