Compare 18/96 and 15/40
18/96 is smaller than 15/40
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,
18/96 = 18 × 5/96 × 5 = 90/480 - Likewise, for the 2nd fraction, since 40 × 12 = 480,
15/40 = 15 × 12/40 × 12 = 180/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/480 < 180/480 or 18/96 < 15/40
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