Compare 8/27 and 42/5
1st number: 8/27, 2nd number: 8 2/5
8/27 is smaller than 42/5
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,
8/27 = 8 × 5/27 × 5 = 40/135 - Likewise, for the 2nd fraction, since 5 × 27 = 135,
42/5 = 42 × 27/5 × 27 = 1134/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/135 < 1134/135 or 8/27 < 42/5
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