Compare 75/20 and 27/8
1st number: 3 15/20, 2nd number: 3 3/8
75/20 is greater than 27/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 20 × 2 = 40,
75/20 = 75 × 2/20 × 2 = 150/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
27/8 = 27 × 5/8 × 5 = 135/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/40 > 135/40 or 75/20 > 27/8
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