Compare 15/7 and 40/18
1st number: 2 1/7, 2nd number: 2 4/18
15/7 is smaller than 40/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 7 × 18 = 126,
15/7 = 15 × 18/7 × 18 = 270/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/126 < 280/126 or 15/7 < 40/18
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