Compare 32/40 and 16/15
1st number: 32/40, 2nd number: 1 1/15
32/40 is smaller than 16/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 15 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
32/40 = 32 × 3/40 × 3 = 96/120 - Likewise, for the 2nd fraction, since 15 × 8 = 120,
16/15 = 16 × 8/15 × 8 = 128/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/120 < 128/120 or 32/40 < 16/15
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