Compare 2/5 and 30/63
2/5 is smaller than 30/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 5 × 63 = 315,
2/5 = 2 × 63/5 × 63 = 126/315 - 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
- 126/315 < 150/315 or 2/5 < 30/63
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