Solve 4/9:2/3:2/3=2/3:frac{2}{3}=1

$$\frac { 4 } { 9 } : \frac { 2 } { 3 } : \frac { 2 } { 3 } = \frac { 2 } { 3 } : \frac { 2 } { 3 } = 1$$

Verify

Solution Steps

Divide \frac{2}{3} by \frac{2}{3} to get 1.

$$\frac{\frac{\frac{4}{9}}{\frac{2}{3}}}{\frac{2}{3}}=1\text{ and }\frac{\frac{2}{3}}{\frac{2}{3}}=1$$

Divide \frac{2}{3} by \frac{2}{3} to get 1.

$$\frac{\frac{\frac{4}{9}}{\frac{2}{3}}}{\frac{2}{3}}=1\text{ and }1=1$$

Divide \frac{\frac{4}{9}}{\frac{2}{3}} by \frac{2}{3} by multiplying \frac{\frac{4}{9}}{\frac{2}{3}} by the reciprocal of \frac{2}{3}.

$$\frac{\frac{4}{9}\times 3}{\frac{2}{3}\times 2}=1\text{ and }1=1$$

Express \frac{4}{9}\times 3 as a single fraction.

$$\frac{\frac{4\times 3}{9}}{\frac{2}{3}\times 2}=1\text{ and }1=1$$

Multiply 4 and 3 to get 12.

$$\frac{\frac{12}{9}}{\frac{2}{3}\times 2}=1\text{ and }1=1$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{4}{3}}{\frac{2}{3}\times 2}=1\text{ and }1=1$$

Express \frac{2}{3}\times 2 as a single fraction.

$$\frac{\frac{4}{3}}{\frac{2\times 2}{3}}=1\text{ and }1=1$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{3}}{\frac{4}{3}}=1\text{ and }1=1$$

Divide \frac{4}{3} by \frac{4}{3} to get 1.

$$1=1\text{ and }1=1$$

Compare 1 and 1.

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

Compare 1 and 1.

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

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

$$\text{true}$$