Compare 9/56 and 35/72
9/56 is smaller than 35/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
9/56 = 9 × 9/56 × 9 = 81/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
35/72 = 35 × 7/72 × 7 = 245/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/504 < 245/504 or 9/56 < 35/72
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