Compare 3/63 and 8/15
3/63 is smaller than 8/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 15 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 63 × 5 = 315,
3/63 = 3 × 5/63 × 5 = 15/315 - Likewise, for the 2nd fraction, since 15 × 21 = 315,
8/15 = 8 × 21/15 × 21 = 168/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/315 < 168/315 or 3/63 < 8/15
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