Compare 2/63 and 8/56
2/63 is smaller than 8/56
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,
2/63 = 2 × 8/63 × 8 = 16/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
8/56 = 8 × 9/56 × 9 = 72/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/504 < 72/504 or 2/63 < 8/56
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