Compare 9/49 and 30/56
9/49 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
9/49 = 9 × 8/49 × 8 = 72/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
30/56 = 30 × 7/56 × 7 = 210/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/392 < 210/392 or 9/49 < 30/56
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