Compare 2/15 and 20/63
2/15 is smaller than 20/63
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,
2/15 = 2 × 21/15 × 21 = 42/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
20/63 = 20 × 5/63 × 5 = 100/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/315 < 100/315 or 2/15 < 20/63
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