Solve (15*5)+1/2(3*5)

$$(15 \times 5)+ \frac{ 1 }{ 2 } (3 \times 5)$$

Evaluate

$$\frac{165}{2}=82.5$$

Solution Steps

Multiply 15 and 5 to get 75.

$$75+\frac{1}{2}\times 3\times 5$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$75+\frac{3}{2}\times 5$$

Express \frac{3}{2}\times 5 as a single fraction.

$$75+\frac{3\times 5}{2}$$

Multiply 3 and 5 to get 15.

$$75+\frac{15}{2}$$

Convert 75 to fraction \frac{150}{2}.

$$\frac{150}{2}+\frac{15}{2}$$

Since \frac{150}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$\frac{150+15}{2}$$

Add 150 and 15 to get 165.

$$\frac{165}{2}$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2} = 82\frac{1}{2} = 82.5$$