Solve 3/11-1/121

$$\frac { 3 } { 11 } - \frac { 1 } { 121 }$$

Evaluate

$$\frac{32}{121}\approx 0.26446281$$

Solution Steps

Least common multiple of 11 and 121 is 121. Convert \frac{3}{11} and \frac{1}{121} to fractions with denominator 121.

$$\frac{33}{121}-\frac{1}{121}$$

Since \frac{33}{121} and \frac{1}{121} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-1}{121}$$

Subtract 1 from 33 to get 32.

$$\frac{32}{121}$$

Factor

$$\frac{2 ^ {5}}{11 ^ {2}} = 0.2644628099173554$$