Compare 40/7 and 30/18
1st number: 5 5/7, 2nd number: 1 12/18
40/7 is greater than 30/18
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,
40/7 = 40 × 18/7 × 18 = 720/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
30/18 = 30 × 7/18 × 7 = 210/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 720/126 > 210/126 or 40/7 > 30/18
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