Compare 2/32 and 42/63
2/32 is smaller than 42/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 63 is 2016
Next, find the equivalent fraction of both fractional numbers with denominator 2016 - For the 1st fraction, since 32 × 63 = 2016,
2/32 = 2 × 63/32 × 63 = 126/2016 - Likewise, for the 2nd fraction, since 63 × 32 = 2016,
42/63 = 42 × 32/63 × 32 = 1344/2016 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/2016 < 1344/2016 or 2/32 < 42/63
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