Compare 32/42 and 10/27
32/42 is greater than 10/27
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,
32/42 = 32 × 9/42 × 9 = 288/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
10/27 = 10 × 14/27 × 14 = 140/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/378 > 140/378 or 32/42 > 10/27
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