Compare 27/5 and 75/14
1st number: 5 2/5, 2nd number: 5 5/14
27/5 is greater than 75/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 5 × 14 = 70,
27/5 = 27 × 14/5 × 14 = 378/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
75/14 = 75 × 5/14 × 5 = 375/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 378/70 > 375/70 or 27/5 > 75/14
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