Compare 8/42 and 14/27
842 is smaller than 1427
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,
842 = 8 × 942 × 9 = 72378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
1427 = 14 × 1427 × 14 = 196378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72378 < 196378 or 842 < 1427
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