Compare 9/16 and 40/63
9/16 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 16 × 63 = 1008,
9/16 = 9 × 63/16 × 63 = 567/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
40/63 = 40 × 16/63 × 16 = 640/1008 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/1008 < 640/1008 or 9/16 < 40/63
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