Compare 42/35 and 36/9
1st number: 1 7/35, 2nd number: 4 0/9
42/35 is smaller than 36/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
42/35 = 42 × 9/35 × 9 = 378/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
36/9 = 36 × 35/9 × 35 = 1260/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 378/315 < 1260/315 or 42/35 < 36/9
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