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

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

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Convert 4 to fraction \frac{8}{2}.

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

Since \frac{1}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 8 from 1 to get -7.

$$\frac{-\frac{7}{2}+20}{\frac{1}{2}\times 4+20}$$

Convert 20 to fraction \frac{40}{2}.

$$\frac{-\frac{7}{2}+\frac{40}{2}}{\frac{1}{2}\times 4+20}$$

Since -\frac{7}{2} and \frac{40}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-7+40}{2}}{\frac{1}{2}\times 4+20}$$

Add -7 and 40 to get 33.

$$\frac{\frac{33}{2}}{\frac{1}{2}\times 4+20}$$

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

$$\frac{\frac{33}{2}}{\frac{4}{2}+20}$$

Divide 4 by 2 to get 2.

$$\frac{\frac{33}{2}}{2+20}$$

Add 2 and 20 to get 22.

$$\frac{\frac{33}{2}}{22}$$

Express \frac{\frac{33}{2}}{22} as a single fraction.

$$\frac{33}{2\times 22}$$

Multiply 2 and 22 to get 44.

$$\frac{33}{44}$$

Reduce the fraction \frac{33}{44} to lowest terms by extracting and canceling out 11.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$