Compare 75/7 and 45/18
1st number: 10 5/7, 2nd number: 2 9/18
75/7 is greater than 45/18
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,
75/7 = 75 × 18/7 × 18 = 1350/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1350/126 > 315/126 or 75/7 > 45/18
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