Compare 40/56 and 9/49
40/56 is greater than 9/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
9/49 = 9 × 8/49 × 8 = 72/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/392 > 72/392 or 40/56 > 9/49
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