Compare 42/20 and 32/15
1st number: 2 2/20, 2nd number: 2 2/15
42/20 is smaller than 32/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 15 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 20 × 3 = 60,
42/20 = 42 × 3/20 × 3 = 126/60 - Likewise, for the 2nd fraction, since 15 × 4 = 60,
32/15 = 32 × 4/15 × 4 = 128/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/60 < 128/60 or 42/20 < 32/15
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