Solve 1/2(2/5+2+0,3/0,5)quad13

$$\frac { 1 } { 2 } ( \frac { 2 } { 5 } + \frac { 2 + 0,3 } { 0,5 } ) \quad 13$$

Evaluate

$$32,5$$

Solution Steps

Add 2 and 0,3 to get 2,3.

$$\frac{1}{2}\left(\frac{2}{5}+\frac{2,3}{0,5}\right)\times 13$$

Expand \frac{2,3}{0,5} by multiplying both numerator and the denominator by 10.

$$\frac{1}{2}\left(\frac{2}{5}+\frac{23}{5}\right)\times 13$$

Since \frac{2}{5} and \frac{23}{5} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}\times \frac{2+23}{5}\times 13$$

Add 2 and 23 to get 25.

$$\frac{1}{2}\times \frac{25}{5}\times 13$$

Divide 25 by 5 to get 5.

$$\frac{1}{2}\times 5\times 13$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{5}{2}\times 13$$

Express \frac{5}{2}\times 13 as a single fraction.

$$\frac{5\times 13}{2}$$

Multiply 5 and 13 to get 65.

$$\frac{65}{2}$$

Factor

$$\frac{5 \cdot 13}{2} = 32\frac{1}{2} = 32.5$$