Compare 40/27 and 7/42
1st number: 1 13/27, 2nd number: 7/42
40/27 is greater than 7/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
7/42 = 7 × 9/42 × 9 = 63/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/378 > 63/378 or 40/27 > 7/42
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