Compare 27/5 and 75/9
1st number: 5 2/5, 2nd number: 8 3/9
27/5 is smaller than 75/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 5 × 9 = 45,
27/5 = 27 × 9/5 × 9 = 243/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
75/9 = 75 × 5/9 × 5 = 375/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/45 < 375/45 or 27/5 < 75/9
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