Compare 40/27 and 9/5
1st number: 1 13/27, 2nd number: 1 4/5
40/27 is smaller than 9/5
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,
40/27 = 40 × 5/27 × 5 = 200/135 - Likewise, for the 2nd fraction, since 5 × 27 = 135,
9/5 = 9 × 27/5 × 27 = 243/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/135 < 243/135 or 40/27 < 9/5
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