Compare 2/56 and 32/63
2/56 is smaller than 32/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 63 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
2/56 = 2 × 9/56 × 9 = 18/504 - Likewise, for the 2nd fraction, since 63 × 8 = 504,
32/63 = 32 × 8/63 × 8 = 256/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/504 < 256/504 or 2/56 < 32/63
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