Solve 21/4+2/frac{1{2}}

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

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 1 to get 9.

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

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

$$\frac{\frac{9}{4}+\frac{8}{4}}{\frac{1}{2}}$$

Since \frac{9}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9+8}{4}}{\frac{1}{2}}$$

Add 9 and 8 to get 17.

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

Divide \frac{17}{4} by \frac{1}{2} by multiplying \frac{17}{4} by the reciprocal of \frac{1}{2}.

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

Express \frac{17}{4}\times 2 as a single fraction.

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

Multiply 17 and 2 to get 34.

$$\frac{34}{4}$$

Reduce the fraction \frac{34}{4} to lowest terms by extracting and canceling out 2.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$