Compare 9/15 and 40/63
9/15 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 15 × 21 = 315,
9/15 = 9 × 21/15 × 21 = 189/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
40/63 = 40 × 5/63 × 5 = 200/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/315 < 200/315 or 9/15 < 40/63
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