Solve 11/2/2frac{2{3}}=

$$\frac { 1 \frac { 1 } { 2 } } { 2 \frac { 2 } { 3 } } =$$

Evaluate

$$\frac{9}{16}=0.5625$$

Solution Steps

Divide \frac{1\times 2+1}{2} by \frac{2\times 3+2}{3} by multiplying \frac{1\times 2+1}{2} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{\left(1\times 2+1\right)\times 3}{2\left(2\times 3+2\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{\left(2+1\right)\times 3}{2\left(2\times 3+2\right)}$$

Add 2 and 1 to get 3.

$$\frac{3\times 3}{2\left(2\times 3+2\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2\left(2\times 3+2\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{9}{2\left(6+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{9}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$