Solve (2/1)-3(-1/2)+2(0/-2)

$$( \frac { 2 } { 1 } ) - 3 ( \frac { - 1 } { 2 } ) + 2 ( \frac { 0 } { - 2 } )$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Anything divided by one gives itself.

$$2-3\times \frac{-1}{2}+2\times \frac{0}{-2}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$2-3\left(-\frac{1}{2}\right)+2\times \frac{0}{-2}$$

Express 3\left(-\frac{1}{2}\right) as a single fraction.

$$2-\frac{3\left(-1\right)}{2}+2\times \frac{0}{-2}$$

Multiply 3 and -1 to get -3.

$$2-\frac{-3}{2}+2\times \frac{0}{-2}$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$2-\left(-\frac{3}{2}\right)+2\times \frac{0}{-2}$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$2+\frac{3}{2}+2\times \frac{0}{-2}$$

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

$$\frac{4}{2}+\frac{3}{2}+2\times \frac{0}{-2}$$

Since \frac{4}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{2}+2\times \frac{0}{-2}$$

Add 4 and 3 to get 7.

$$\frac{7}{2}+2\times \frac{0}{-2}$$

Zero divided by any non-zero number gives zero.

$$\frac{7}{2}+2\times 0$$

Multiply 2 and 0 to get 0.

$$\frac{7}{2}+0$$

Add \frac{7}{2} and 0 to get \frac{7}{2}.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$