Compare 14/16 and 10/21
14/16 is greater than 10/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 21 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 16 × 21 = 336,
14/16 = 14 × 21/16 × 21 = 294/336 - Likewise, for the 2nd fraction, since 21 × 16 = 336,
10/21 = 10 × 16/21 × 16 = 160/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/336 > 160/336 or 14/16 > 10/21
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