Compare 32/15 and 49/14
1st number: 2 2/15, 2nd number: 3 7/14
32/15 is smaller than 49/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
32/15 = 32 × 14/15 × 14 = 448/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
49/14 = 49 × 15/14 × 15 = 735/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/210 < 735/210 or 32/15 < 49/14
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