Compare 8/40 and 32/6
1st number: 8/40, 2nd number: 5 2/6
8/40 is smaller than 32/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 6 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
8/40 = 8 × 3/40 × 3 = 24/120 - Likewise, for the 2nd fraction, since 6 × 20 = 120,
32/6 = 32 × 20/6 × 20 = 640/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/120 < 640/120 or 8/40 < 32/6
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