Compare 30/42 and 14/27
30/42 is greater than 14/27
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,
14/27 = 14 × 14/27 × 14 = 196/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/378 > 196/378 or 30/42 > 14/27
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