Solve 12/332/frac{4{9}}

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

Evaluate

$$\frac{45}{2}=22.5$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}\times 3\times \frac{2}{\frac{4}{9}}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}\times 3\times \frac{2}{\frac{4}{9}}$$

Cancel out 3 and 3.

$$5\times \frac{2}{\frac{4}{9}}$$

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

$$5\times 2\times \frac{9}{4}$$

Express 2\times \frac{9}{4} as a single fraction.

$$5\times \frac{2\times 9}{4}$$

Multiply 2 and 9 to get 18.

$$5\times \frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$5\times \frac{9}{2}$$

Express 5\times \frac{9}{2} as a single fraction.

$$\frac{5\times 9}{2}$$

Multiply 5 and 9 to get 45.

$$\frac{45}{2}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2} = 22\frac{1}{2} = 22.5$$