Compare 9/56 and 45/96
9/56 is smaller than 45/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 56 × 12 = 672,
9/56 = 9 × 12/56 × 12 = 108/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
45/96 = 45 × 7/96 × 7 = 315/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/672 < 315/672 or 9/56 < 45/96
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