Solve 6/7-1/11

$$\frac { 6 } { 7 } - \frac { 1 } { 11 }$$

Evaluate

$$\frac{59}{77}\approx 0.766233766$$

Solution Steps

Least common multiple of 7 and 11 is 77. Convert \frac{6}{7} and \frac{1}{11} to fractions with denominator 77.

$$\frac{66}{77}-\frac{7}{77}$$

Since \frac{66}{77} and \frac{7}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-7}{77}$$

Subtract 7 from 66 to get 59.

$$\frac{59}{77}$$

Factor

$$\frac{59}{7 \cdot 11} = 0.7662337662337663$$