Solve 1-2/-4/-frac{3{2}+0,5}=

$$\frac { 1 - \frac { 2 } { - 4 } } { - \frac { 3 } { 2 } + 0,5 } =$$

Evaluate

$$-1,5$$

Solution Steps

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

$$\frac{1-\left(-\frac{1}{2}\right)}{-\frac{3}{2}+0,5}$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$\frac{1+\frac{1}{2}}{-\frac{3}{2}+0,5}$$

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

$$\frac{\frac{2}{2}+\frac{1}{2}}{-\frac{3}{2}+0,5}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+1}{2}}{-\frac{3}{2}+0,5}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{2}}{-\frac{3}{2}+0,5}$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

Since -\frac{3}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add -3 and 1 to get -2.

$$\frac{\frac{3}{2}}{\frac{-2}{2}}$$

Divide -2 by 2 to get -1.

$$\frac{\frac{3}{2}}{-1}$$

Express \frac{\frac{3}{2}}{-1} as a single fraction.

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

Multiply 2 and -1 to get -2.

$$\frac{3}{-2}$$

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

$$-\frac{3}{2}$$

Factor

$$-1,5$$