Compare 14/16 and 45/21
1st number: 14/16, 2nd number: 2 3/21
14/16 is smaller than 45/21
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,
45/21 = 45 × 16/21 × 16 = 720/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/336 < 720/336 or 14/16 < 45/21
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