Compare 40/14 and 21/16
1st number: 2 12/14, 2nd number: 1 5/16
40/14 is greater than 21/16
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,
40/14 = 40 × 8/14 × 8 = 320/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
21/16 = 21 × 7/16 × 7 = 147/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/112 > 147/112 or 40/14 > 21/16
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