Compare 4/15 and 42/96
4/15 is smaller than 42/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 15 × 32 = 480,
4/15 = 4 × 32/15 × 32 = 128/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
42/96 = 42 × 5/96 × 5 = 210/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/480 < 210/480 or 4/15 < 42/96
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