Compare 9/40 and 5/12
940 is smaller than 512
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 12 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
940 = 9 × 340 × 3 = 27120 - Likewise, for the 2nd fraction, since 12 × 10 = 120,
512 = 5 × 1012 × 10 = 50120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27120 < 50120 or 940 < 512
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