Solve 1/3div9=1/3*1/9=1/27

$$\frac { 1 } { 3 } \div 9 = \frac { 1 } { 3 } \times \frac { 1 } { 9 } = \frac { 1 } { 27 }$$

Verify

Solution Steps

Express \frac{\frac{1}{3}}{9} as a single fraction.

$$\frac{1}{3\times 9}=\frac{1}{3}\times \frac{1}{9}\text{ and }\frac{1}{3}\times \frac{1}{9}=\frac{1}{27}$$

Multiply 3 and 9 to get 27.

$$\frac{1}{27}=\frac{1}{3}\times \frac{1}{9}\text{ and }\frac{1}{3}\times \frac{1}{9}=\frac{1}{27}$$

Multiply \frac{1}{3} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{27}=\frac{1\times 1}{3\times 9}\text{ and }\frac{1}{3}\times \frac{1}{9}=\frac{1}{27}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 9}.

$$\frac{1}{27}=\frac{1}{27}\text{ and }\frac{1}{3}\times \frac{1}{9}=\frac{1}{27}$$

Compare \frac{1}{27} and \frac{1}{27}.

$$\text{true}\text{ and }\frac{1}{3}\times \frac{1}{9}=\frac{1}{27}$$

Multiply \frac{1}{3} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\text{true}\text{ and }\frac{1\times 1}{3\times 9}=\frac{1}{27}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 9}.

$$\text{true}\text{ and }\frac{1}{27}=\frac{1}{27}$$

Compare \frac{1}{27} and \frac{1}{27}.

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

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

$$\text{true}$$