Compare 8/27 and 75/42
1st number: 8/27, 2nd number: 1 33/42
8/27 is smaller than 75/42
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,
8/27 = 8 × 14/27 × 14 = 112/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/378 < 675/378 or 8/27 < 75/42
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