Solve 12/2div(11/2div41/4)

$$1 \frac { 2 } { 2 } \div ( 1 \frac { 1 } { 2 } \div 4 \frac { 1 } { 4 } )$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Divide \frac{1\times 2+2}{2} by \frac{\frac{1\times 2+1}{2}}{\frac{4\times 4+1}{4}} by multiplying \frac{1\times 2+2}{2} by the reciprocal of \frac{\frac{1\times 2+1}{2}}{\frac{4\times 4+1}{4}}.

$$\frac{\left(1\times 2+2\right)\times \frac{4\times 4+1}{4}}{2\times \frac{1\times 2+1}{2}}$$

Multiply 1 and 2 to get 2.

$$\frac{\left(2+2\right)\times \frac{4\times 4+1}{4}}{2\times \frac{1\times 2+1}{2}}$$

Add 2 and 2 to get 4.

$$\frac{4\times \frac{4\times 4+1}{4}}{2\times \frac{1\times 2+1}{2}}$$

Multiply 4 and 4 to get 16.

$$\frac{4\times \frac{16+1}{4}}{2\times \frac{1\times 2+1}{2}}$$

Add 16 and 1 to get 17.

$$\frac{4\times \frac{17}{4}}{2\times \frac{1\times 2+1}{2}}$$

Cancel out 4 and 4.

$$\frac{17}{2\times \frac{1\times 2+1}{2}}$$

Multiply 1 and 2 to get 2.

$$\frac{17}{2\times \frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$\frac{17}{2\times \frac{3}{2}}$$

Cancel out 2 and 2.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$