Compare 20/3 and 64/7
1st number: 6 2/3, 2nd number: 9 1/7
20/3 is smaller than 64/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
20/3 = 20 × 7/3 × 7 = 140/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
64/7 = 64 × 3/7 × 3 = 192/21 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/21 < 192/21 or 20/3 < 64/7
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