Compare 9/63 and 12/16
9/63 is smaller than 12/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 16 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 63 × 16 = 1008,
9/63 = 9 × 16/63 × 16 = 144/1008 - Likewise, for the 2nd fraction, since 16 × 63 = 1008,
12/16 = 12 × 63/16 × 63 = 756/1008 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/1008 < 756/1008 or 9/63 < 12/16
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