Compare 10/16 and 45/49
10/16 is smaller than 45/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
10/16 = 10 × 49/16 × 49 = 490/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
45/49 = 45 × 16/49 × 16 = 720/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/784 < 720/784 or 10/16 < 45/49
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