Compare 25/49 and 40/56
25/49 is smaller than 40/56
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,
25/49 = 25 × 8/49 × 8 = 200/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
40/56 = 40 × 7/56 × 7 = 280/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/392 < 280/392 or 25/49 < 40/56
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