Compare 75/27 and 28/5
1st number: 2 21/27, 2nd number: 5 3/5
75/27 is smaller than 28/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 5 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
75/27 = 75 × 5/27 × 5 = 375/135 - Likewise, for the 2nd fraction, since 5 × 27 = 135,
28/5 = 28 × 27/5 × 27 = 756/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/135 < 756/135 or 75/27 < 28/5
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