Compare 21/20 and 48/7
1st number: 1 1/20, 2nd number: 6 6/7
21/20 is smaller than 48/7
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,
21/20 = 21 × 7/20 × 7 = 147/140 - Likewise, for the 2nd fraction, since 7 × 20 = 140,
48/7 = 48 × 20/7 × 20 = 960/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/140 < 960/140 or 21/20 < 48/7
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