Compare 35/2 and 42/27
1st number: 17 1/2, 2nd number: 1 15/27
35/2 is greater than 42/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
35/2 = 35 × 27/2 × 27 = 945/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
42/27 = 42 × 2/27 × 2 = 84/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/54 > 84/54 or 35/2 > 42/27
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