Compare 1/15 and 30/63
1/15 is smaller than 30/63
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,
1/15 = 1 × 21/15 × 21 = 21/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
30/63 = 30 × 5/63 × 5 = 150/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/315 < 150/315 or 1/15 < 30/63
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