Compare 27/7 and 30/20
1st number: 3 6/7, 2nd number: 1 10/20
27/7 is greater than 30/20
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,
27/7 = 27 × 20/7 × 20 = 540/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
30/20 = 30 × 7/20 × 7 = 210/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/140 > 210/140 or 27/7 > 30/20
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