Compare 75/7 and 40/20
1st number: 10 5/7, 2nd number: 2 0/20
75/7 is greater than 40/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 20 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 7 × 20 = 140,
75/7 = 75 × 20/7 × 20 = 1500/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
40/20 = 40 × 7/20 × 7 = 280/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1500/140 > 280/140 or 75/7 > 40/20
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