Solve 8+6/6-frac{10{11}}

$$8 + \frac { 6 } { 6 - \frac { 10 } { 11 } }$$

Evaluate

$$\frac{257}{28}\approx 9.178571429$$

Solution Steps

Convert 6 to fraction \frac{66}{11}.

$$8+\frac{6}{\frac{66}{11}-\frac{10}{11}}$$

Since \frac{66}{11} and \frac{10}{11} have the same denominator, subtract them by subtracting their numerators.

$$8+\frac{6}{\frac{66-10}{11}}$$

Subtract 10 from 66 to get 56.

$$8+\frac{6}{\frac{56}{11}}$$

Divide 6 by \frac{56}{11} by multiplying 6 by the reciprocal of \frac{56}{11}.

$$8+6\times \frac{11}{56}$$

Express 6\times \frac{11}{56} as a single fraction.

$$8+\frac{6\times 11}{56}$$

Multiply 6 and 11 to get 66.

$$8+\frac{66}{56}$$

Reduce the fraction \frac{66}{56} to lowest terms by extracting and canceling out 2.

$$8+\frac{33}{28}$$

Convert 8 to fraction \frac{224}{28}.

$$\frac{224}{28}+\frac{33}{28}$$

Since \frac{224}{28} and \frac{33}{28} have the same denominator, add them by adding their numerators.

$$\frac{224+33}{28}$$

Add 224 and 33 to get 257.

$$\frac{257}{28}$$

Factor

$$\frac{257}{2 ^ {2} \cdot 7} = 9\frac{5}{28} = 9.178571428571429$$