Compare 40/9 and 42/35
1st number: 4 4/9, 2nd number: 1 7/35
40/9 is greater than 42/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
40/9 = 40 × 35/9 × 35 = 1400/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
42/35 = 42 × 9/35 × 9 = 378/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1400/315 > 378/315 or 40/9 > 42/35
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