Compare 12/32 and 30/63
12/32 is smaller than 30/63
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,
12/32 = 12 × 63/32 × 63 = 756/2016 - Likewise, for the 2nd fraction, since 63 × 32 = 2016,
30/63 = 30 × 32/63 × 32 = 960/2016 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 756/2016 < 960/2016 or 12/32 < 30/63
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