Compare 3/7 and 35/54
3/7 is smaller than 35/54
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,
3/7 = 3 × 54/7 × 54 = 162/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
35/54 = 35 × 7/54 × 7 = 245/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/378 < 245/378 or 3/7 < 35/54
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