Compare 27/20 and 60/7
1st number: 1 7/20, 2nd number: 8 4/7
27/20 is smaller than 60/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 7 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 20 × 7 = 140,
27/20 = 27 × 7/20 × 7 = 189/140 - Likewise, for the 2nd fraction, since 7 × 20 = 140,
60/7 = 60 × 20/7 × 20 = 1200/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/140 < 1200/140 or 27/20 < 60/7
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