Compare 9/20 and 40/63
9/20 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 63 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 20 × 63 = 1260,
9/20 = 9 × 63/20 × 63 = 567/1260 - Likewise, for the 2nd fraction, since 63 × 20 = 1260,
40/63 = 40 × 20/63 × 20 = 800/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/1260 < 800/1260 or 9/20 < 40/63
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