Solve 5/7div6/7div5/6=

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

Evaluate

$$1$$

Solution Steps

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

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

Express \frac{5}{7}\times 6 as a single fraction.

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

Multiply 5 and 6 to get 30.

$$\frac{\frac{30}{7}}{\frac{6}{7}\times 5}$$

Express \frac{6}{7}\times 5 as a single fraction.

$$\frac{\frac{30}{7}}{\frac{6\times 5}{7}}$$

Multiply 6 and 5 to get 30.

$$\frac{\frac{30}{7}}{\frac{30}{7}}$$

Divide \frac{30}{7} by \frac{30}{7} to get 1.

$$1$$

Factor

$$1$$