Compare 6/16 and 24/49
6/16 is smaller than 24/49
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,
6/16 = 6 × 49/16 × 49 = 294/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
24/49 = 24 × 16/49 × 16 = 384/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/784 < 384/784 or 6/16 < 24/49
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