Solve 5(-1/2)+2(1/4-2*(-1/2)

$$5 ( - \frac { 1 } { 2 } ) + 2 ( \frac { 1 } { 4 } - 2 \times ( - \frac { 1 } { 2 } )$$

Evaluate

$$0$$

Solution Steps

Express 5\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{5\left(-1\right)}{2}+2\left(\frac{1}{4}-2\left(-\frac{1}{2}\right)\right)$$

Multiply 5 and -1 to get -5.

$$\frac{-5}{2}+2\left(\frac{1}{4}-2\left(-\frac{1}{2}\right)\right)$$

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$-\frac{5}{2}+2\left(\frac{1}{4}-2\left(-\frac{1}{2}\right)\right)$$

Cancel out 2 and 2.

$$-\frac{5}{2}+2\left(\frac{1}{4}-\left(-1\right)\right)$$

The opposite of -1 is 1.

$$-\frac{5}{2}+2\left(\frac{1}{4}+1\right)$$

Convert 1 to fraction \frac{4}{4}.

$$-\frac{5}{2}+2\left(\frac{1}{4}+\frac{4}{4}\right)$$

Since \frac{1}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$-\frac{5}{2}+2\times \frac{1+4}{4}$$

Add 1 and 4 to get 5.

$$-\frac{5}{2}+2\times \frac{5}{4}$$

Express 2\times \frac{5}{4} as a single fraction.

$$-\frac{5}{2}+\frac{2\times 5}{4}$$

Multiply 2 and 5 to get 10.

$$-\frac{5}{2}+\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{2}+\frac{5}{2}$$

Add -\frac{5}{2} and \frac{5}{2} to get 0.

$$0$$

Factor

$$0$$