Compare 1/7 and 21/54
1/7 is smaller than 21/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 7 × 54 = 378,
1/7 = 1 × 54/7 × 54 = 54/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
21/54 = 21 × 7/54 × 7 = 147/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/378 < 147/378 or 1/7 < 21/54
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