Compare 6/7 and 49/54
6/7 is smaller than 49/54
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,
6/7 = 6 × 54/7 × 54 = 324/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
49/54 = 49 × 7/54 × 7 = 343/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/378 < 343/378 or 6/7 < 49/54
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