Compare 40/54 and 10/7
1st number: 40/54, 2nd number: 1 3/7
40/54 is smaller than 10/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 7 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Likewise, for the 2nd fraction, since 7 × 54 = 378,
10/7 = 10 × 54/7 × 54 = 540/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/378 < 540/378 or 40/54 < 10/7
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