Compare 14/6 and 75/32
1st number: 2 2/6, 2nd number: 2 11/32
14/6 is smaller than 75/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 6 × 16 = 96,
14/6 = 14 × 16/6 × 16 = 224/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
75/32 = 75 × 3/32 × 3 = 225/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/96 < 225/96 or 14/6 < 75/32
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