Compare 36/63 and 49/56
36/63 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 63 × 8 = 504,
36/63 = 36 × 8/63 × 8 = 288/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
49/56 = 49 × 9/56 × 9 = 441/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/504 < 441/504 or 36/63 < 49/56
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