Compare 25/27 and 49/42
1st number: 25/27, 2nd number: 1 7/42
25/27 is smaller than 49/42
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,
25/27 = 25 × 14/27 × 14 = 350/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
49/42 = 49 × 9/42 × 9 = 441/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 350/378 < 441/378 or 25/27 < 49/42
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