Compare 75/7 and 40/30
1st number: 10 5/7, 2nd number: 1 10/30
75/7 is greater than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
75/7 = 75 × 30/7 × 30 = 2250/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2250/210 > 280/210 or 75/7 > 40/30
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