Compare 40/35 and 32/9
1st number: 1 5/35, 2nd number: 3 5/9
40/35 is smaller than 32/9
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,
40/35 = 40 × 9/35 × 9 = 360/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
32/9 = 32 × 35/9 × 35 = 1120/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/315 < 1120/315 or 40/35 < 32/9
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