Compare 6/7 and 75/54
1st number: 6/7, 2nd number: 1 21/54
6/7 is smaller than 75/54
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,
75/54 = 75 × 7/54 × 7 = 525/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/378 < 525/378 or 6/7 < 75/54
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