Compare 14/21 and 14/16
14/21 is smaller than 14/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 21 × 16 = 336,
14/21 = 14 × 16/21 × 16 = 224/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
14/16 = 14 × 21/16 × 21 = 294/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/336 < 294/336 or 14/21 < 14/16
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