Compare 30/42 and 40/27
1st number: 30/42, 2nd number: 1 13/27
30/42 is smaller than 40/27
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,
30/42 = 30 × 9/42 × 9 = 270/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/378 < 560/378 or 30/42 < 40/27
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