Solve 1/2div4+20/frac{1{2}*4+20}=

$$\frac { \frac { 1 } { 2 } \div 4 + 20 } { \frac { 1 } { 2 } \times 4 + 20 } =$$

Evaluate

$$\frac{161}{176}\approx 0.914772727$$

Solution Steps

Express \frac{\frac{1}{2}}{4} as a single fraction.

$$\frac{\frac{1}{2\times 4}+20}{\frac{1}{2}\times 4+20}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{1}{8}+20}{\frac{1}{2}\times 4+20}$$

Convert 20 to fraction \frac{160}{8}.

$$\frac{\frac{1}{8}+\frac{160}{8}}{\frac{1}{2}\times 4+20}$$

Since \frac{1}{8} and \frac{160}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1+160}{8}}{\frac{1}{2}\times 4+20}$$

Add 1 and 160 to get 161.

$$\frac{\frac{161}{8}}{\frac{1}{2}\times 4+20}$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{\frac{161}{8}}{\frac{4}{2}+20}$$

Divide 4 by 2 to get 2.

$$\frac{\frac{161}{8}}{2+20}$$

Add 2 and 20 to get 22.

$$\frac{\frac{161}{8}}{22}$$

Express \frac{\frac{161}{8}}{22} as a single fraction.

$$\frac{161}{8\times 22}$$

Multiply 8 and 22 to get 176.

$$\frac{161}{176}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {4} \cdot 11} = 0.9147727272727273$$