Compare 7/8 and 56/63
7/8 is smaller than 56/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 63 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 8 × 63 = 504,
7/8 = 7 × 63/8 × 63 = 441/504 - Likewise, for the 2nd fraction, since 63 × 8 = 504,
56/63 = 56 × 8/63 × 8 = 448/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/504 < 448/504 or 7/8 < 56/63
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