Solve 6/5{frac{6/7}}

$$\frac { 6 } { \frac { 5 } { \frac { 6 } { 7 } } }$$

Evaluate

$$\frac{36}{35}\approx 1.028571429$$

Solution Steps

Divide 6 by \frac{5}{\frac{6}{7}} by multiplying 6 by the reciprocal of \frac{5}{\frac{6}{7}}.

$$\frac{6\times \frac{6}{7}}{5}$$

Express 6\times \frac{6}{7} as a single fraction.

$$\frac{\frac{6\times 6}{7}}{5}$$

Multiply 6 and 6 to get 36.

$$\frac{\frac{36}{7}}{5}$$

Express \frac{\frac{36}{7}}{5} as a single fraction.

$$\frac{36}{7\times 5}$$

Multiply 7 and 5 to get 35.

$$\frac{36}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 \cdot 7} = 1\frac{1}{35} = 1.0285714285714285$$