Compare 10/9 and 75/27
1st number: 1 1/9, 2nd number: 2 21/27
10/9 is smaller than 75/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
10/9 = 10 × 3/9 × 3 = 30/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
75/27 = 75 × 1/27 × 1 = 75/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/27 < 75/27 or 10/9 < 75/27
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