Compare 40/42 and 12/27
40/42 is greater than 12/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
12/27 = 12 × 14/27 × 14 = 168/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/378 > 168/378 or 40/42 > 12/27
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