Compare 2/63 and 24/45
2/63 is smaller than 24/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 63 × 5 = 315,
2/63 = 2 × 5/63 × 5 = 10/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/315 < 168/315 or 2/63 < 24/45
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