Compare 40/49 and 18/16
1st number: 40/49, 2nd number: 1 2/16
40/49 is smaller than 18/16
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,
40/49 = 40 × 16/49 × 16 = 640/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
18/16 = 18 × 49/16 × 49 = 882/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/784 < 882/784 or 40/49 < 18/16
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