Solve -24*5/6-3/4+1/2

$$-24 \cdot \frac{ 5 }{ 6 } - \frac{ 3 }{ 4 } + \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{81}{4}=-20.25$$

Solution Steps

Express -24\times \frac{5}{6} as a single fraction.

$$\frac{-24\times 5}{6}-\frac{3}{4}+\frac{1}{2}$$

Multiply -24 and 5 to get -120.

$$\frac{-120}{6}-\frac{3}{4}+\frac{1}{2}$$

Divide -120 by 6 to get -20.

$$-20-\frac{3}{4}+\frac{1}{2}$$

Convert -20 to fraction -\frac{80}{4}.

$$-\frac{80}{4}-\frac{3}{4}+\frac{1}{2}$$

Since -\frac{80}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-80-3}{4}+\frac{1}{2}$$

Subtract 3 from -80 to get -83.

$$-\frac{83}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{83}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{83}{4}+\frac{2}{4}$$

Since -\frac{83}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{-83+2}{4}$$

Add -83 and 2 to get -81.

$$-\frac{81}{4}$$

Factor

$$-\frac{81}{4} = -20\frac{1}{4} = -20.25$$