Compare 30/98 and 10/16
30/98 is smaller than 10/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 98 × 8 = 784,
30/98 = 30 × 8/98 × 8 = 240/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
10/16 = 10 × 49/16 × 49 = 490/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/784 < 490/784 or 30/98 < 10/16
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