Solve 1/2-3/4-2/1

$$\frac{ 1 }{ 2 } - \frac{ 3 }{ 4 } - \frac{ 2 }{ 1 }$$

Evaluate

$$-\frac{9}{4}=-2.25$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{2}{4}-\frac{3}{4}-\frac{2}{1}$$

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

$$\frac{2-3}{4}-\frac{2}{1}$$

Subtract 3 from 2 to get -1.

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

Anything divided by one gives itself.

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

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

$$-\frac{1}{4}-\frac{8}{4}$$

Since -\frac{1}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-8}{4}$$

Subtract 8 from -1 to get -9.

$$-\frac{9}{4}$$

Factor

$$-\frac{9}{4} = -2\frac{1}{4} = -2.25$$