Compare 2/45 and 9/63
2/45 is smaller than 9/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
2/45 = 2 × 7/45 × 7 = 14/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
9/63 = 9 × 5/63 × 5 = 45/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/315 < 45/315 or 2/45 < 9/63
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