Compare 3/14 and 42/54
3/14 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
3/14 = 3 × 27/14 × 27 = 81/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
42/54 = 42 × 7/54 × 7 = 294/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/378 < 294/378 or 3/14 < 42/54
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