Compare 45/16 and 40/14
1st number: 2 13/16, 2nd number: 2 12/14
45/16 is smaller than 40/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 14 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
45/16 = 45 × 7/16 × 7 = 315/112 - Likewise, for the 2nd fraction, since 14 × 8 = 112,
40/14 = 40 × 8/14 × 8 = 320/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/112 < 320/112 or 45/16 < 40/14
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