Compare 54/49 and 40/16
1st number: 1 5/49, 2nd number: 2 8/16
54/49 is smaller than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
54/49 = 54 × 16/49 × 16 = 864/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
40/16 = 40 × 49/16 × 49 = 1960/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 864/784 < 1960/784 or 54/49 < 40/16
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