Compare 4/5 and 64/27
1st number: 4/5, 2nd number: 2 10/27
4/5 is smaller than 64/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 5 × 27 = 135,
4/5 = 4 × 27/5 × 27 = 108/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
64/27 = 64 × 5/27 × 5 = 320/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/135 < 320/135 or 4/5 < 64/27
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