Compare 40/96 and 25/56
40/96 is smaller than 25/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 56 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
40/96 = 40 × 7/96 × 7 = 280/672 - Likewise, for the 2nd fraction, since 56 × 12 = 672,
25/56 = 25 × 12/56 × 12 = 300/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/672 < 300/672 or 40/96 < 25/56
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