Compare 8/15 and 42/48
8/15 is smaller than 42/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
8/15 = 8 × 16/15 × 16 = 128/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
42/48 = 42 × 5/48 × 5 = 210/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/240 < 210/240 or 8/15 < 42/48
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