Solve 11/68+5/17-1/17=?

$$\frac { 11 } { 68 } + \frac { 5 } { 17 } - \frac { 1 } { 17 } = ?$$

Evaluate

$$\frac{27}{68}\approx 0.397058824$$

Solution Steps

Least common multiple of 68 and 17 is 68. Convert \frac{11}{68} and \frac{5}{17} to fractions with denominator 68.

$$\frac{11}{68}+\frac{20}{68}-\frac{1}{17}$$

Since \frac{11}{68} and \frac{20}{68} have the same denominator, add them by adding their numerators.

$$\frac{11+20}{68}-\frac{1}{17}$$

Add 11 and 20 to get 31.

$$\frac{31}{68}-\frac{1}{17}$$

Least common multiple of 68 and 17 is 68. Convert \frac{31}{68} and \frac{1}{17} to fractions with denominator 68.

$$\frac{31}{68}-\frac{4}{68}$$

Since \frac{31}{68} and \frac{4}{68} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-4}{68}$$

Subtract 4 from 31 to get 27.

$$\frac{27}{68}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 17} = 0.39705882352941174$$