Solve -2*-17/4-1/2

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

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Express -2\left(-\frac{17}{4}\right) as a single fraction.

$$\frac{\frac{-2\left(-17\right)}{4}-1}{2}$$

Multiply -2 and -17 to get 34.

$$\frac{\frac{34}{4}-1}{2}$$

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

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{17}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 17 to get 15.

$$\frac{\frac{15}{2}}{2}$$

Express \frac{\frac{15}{2}}{2} as a single fraction.

$$\frac{15}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$