Compare 15/16 and 40/21
1st number: 15/16, 2nd number: 1 19/21
15/16 is smaller than 40/21
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,
15/16 = 15 × 21/16 × 21 = 315/336 - Likewise, for the 2nd fraction, since 21 × 16 = 336,
40/21 = 40 × 16/21 × 16 = 640/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/336 < 640/336 or 15/16 < 40/21
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