Compare 35/9 and 42/27
1st number: 3 8/9, 2nd number: 1 15/27
35/9 is greater than 42/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
35/9 = 35 × 3/9 × 3 = 105/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
42/27 = 42 × 1/27 × 1 = 42/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/27 > 42/27 or 35/9 > 42/27
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