Solve 1/5div6=1/5div6/1=1/5*frac{1}{6}

$$\frac { 1 } { 5 } \div 6 = \frac { 1 } { 5 } \div \frac { 6 } { 1 } = \frac { 1 } { 5 } \times \frac { 1 } { 6 }$$

Verify

Solution Steps

Express \frac{\frac{1}{5}}{6} as a single fraction.

$$\frac{1}{5\times 6}=\frac{\frac{1}{5}}{\frac{6}{1}}\text{ and }\frac{\frac{1}{5}}{\frac{6}{1}}=\frac{1}{5}\times \frac{1}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{1}{30}=\frac{\frac{1}{5}}{\frac{6}{1}}\text{ and }\frac{\frac{1}{5}}{\frac{6}{1}}=\frac{1}{5}\times \frac{1}{6}$$

Divide \frac{1}{5} by \frac{6}{1} by multiplying \frac{1}{5} by the reciprocal of \frac{6}{1}.

$$\frac{1}{30}=\frac{1}{5\times 6}\text{ and }\frac{\frac{1}{5}}{\frac{6}{1}}=\frac{1}{5}\times \frac{1}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{1}{30}=\frac{1}{30}\text{ and }\frac{\frac{1}{5}}{\frac{6}{1}}=\frac{1}{5}\times \frac{1}{6}$$

Compare \frac{1}{30} and \frac{1}{30}.

$$\text{true}\text{ and }\frac{\frac{1}{5}}{\frac{6}{1}}=\frac{1}{5}\times \frac{1}{6}$$

Divide \frac{1}{5} by \frac{6}{1} by multiplying \frac{1}{5} by the reciprocal of \frac{6}{1}.

$$\text{true}\text{ and }\frac{1}{5\times 6}=\frac{1}{5}\times \frac{1}{6}$$

Multiply 5 and 6 to get 30.

$$\text{true}\text{ and }\frac{1}{30}=\frac{1}{5}\times \frac{1}{6}$$

Multiply \frac{1}{5} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\text{true}\text{ and }\frac{1}{30}=\frac{1\times 1}{5\times 6}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 6}.

$$\text{true}\text{ and }\frac{1}{30}=\frac{1}{30}$$

Compare \frac{1}{30} and \frac{1}{30}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$