Compare 1/14 and 30/54
1/14 is smaller than 30/54
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,
1/14 = 1 × 27/14 × 27 = 27/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
30/54 = 30 × 7/54 × 7 = 210/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/378 < 210/378 or 1/14 < 30/54
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