Compare 4/15 and 42/63
4/15 is smaller than 42/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 15 × 21 = 315,
4/15 = 4 × 21/15 × 21 = 84/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
42/63 = 42 × 5/63 × 5 = 210/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/315 < 210/315 or 4/15 < 42/63
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