Compare 9/63 and 40/81
9/63 is smaller than 40/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 81 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 63 × 9 = 567,
9/63 = 9 × 9/63 × 9 = 81/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
40/81 = 40 × 7/81 × 7 = 280/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/567 < 280/567 or 9/63 < 40/81
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