Compare 27/45 and 40/63
27/45 is smaller than 40/63
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,
27/45 = 27 × 7/45 × 7 = 189/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
40/63 = 40 × 5/63 × 5 = 200/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/315 < 200/315 or 27/45 < 40/63
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