Compare 32/15 and 49/6
1st number: 2 2/15, 2nd number: 8 1/6
32/15 is smaller than 49/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 6 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 15 × 2 = 30,
32/15 = 32 × 2/15 × 2 = 64/30 - Likewise, for the 2nd fraction, since 6 × 5 = 30,
49/6 = 49 × 5/6 × 5 = 245/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/30 < 245/30 or 32/15 < 49/6
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