Compare 9/96 and 20/40
9/96 is smaller than 20/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 40 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
9/96 = 9 × 5/96 × 5 = 45/480 - Likewise, for the 2nd fraction, since 40 × 12 = 480,
20/40 = 20 × 12/40 × 12 = 240/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/480 < 240/480 or 9/96 < 20/40
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