Solve 3.25div0.5*(12+13)+sqrt{16}

$$3.25 \div 0.5 \times (12+13)+ \sqrt{ 16 }$$

Evaluate

$$166.5$$

Solution Steps

Expand \frac{3.25}{0.5} by multiplying both numerator and the denominator by 100.

$$\frac{325}{50}\left(12+13\right)+\sqrt{16}$$

Reduce the fraction \frac{325}{50} to lowest terms by extracting and canceling out 25.

$$\frac{13}{2}\left(12+13\right)+\sqrt{16}$$

Add 12 and 13 to get 25.

$$\frac{13}{2}\times 25+\sqrt{16}$$

Express \frac{13}{2}\times 25 as a single fraction.

$$\frac{13\times 25}{2}+\sqrt{16}$$

Multiply 13 and 25 to get 325.

$$\frac{325}{2}+\sqrt{16}$$

Calculate the square root of 16 and get 4.

$$\frac{325}{2}+4$$

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

$$\frac{325}{2}+\frac{8}{2}$$

Since \frac{325}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{325+8}{2}$$

Add 325 and 8 to get 333.

$$\frac{333}{2}$$

Factor

$$\frac{37 \cdot 3 ^ {2}}{2} = 166\frac{1}{2} = 166.5$$