Compare 27/2 and 84/5
1st number: 13 1/2, 2nd number: 16 4/5
27/2 is smaller than 84/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 5 is 10
Next, find the equivalent fraction of both fractional numbers with denominator 10 - For the 1st fraction, since 2 × 5 = 10,
27/2 = 27 × 5/2 × 5 = 135/10 - Likewise, for the 2nd fraction, since 5 × 2 = 10,
84/5 = 84 × 2/5 × 2 = 168/10 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/10 < 168/10 or 27/2 < 84/5
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