Compare 27/4 and 75/32
1st number: 6 3/4, 2nd number: 2 11/32
27/4 is greater than 75/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 32 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 4 × 8 = 32,
27/4 = 27 × 8/4 × 8 = 216/32 - Likewise, for the 2nd fraction, since 32 × 1 = 32,
75/32 = 75 × 1/32 × 1 = 75/32 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/32 > 75/32 or 27/4 > 75/32
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