Compare 32/5 and 40/35
1st number: 6 2/5, 2nd number: 1 5/35
32/5 is greater than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 35 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
32/5 = 32 × 7/5 × 7 = 224/35 - Likewise, for the 2nd fraction, since 35 × 1 = 35,
40/35 = 40 × 1/35 × 1 = 40/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/35 > 40/35 or 32/5 > 40/35
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