Solve 81/4-27-9/2+9

$$\frac{ 81 }{ 4 } -27- \frac{ 9 }{ 2 } +9$$

Evaluate

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

Solution Steps

Convert 27 to fraction \frac{108}{4}.

$$\frac{81}{4}-\frac{108}{4}-\frac{9}{2}+9$$

Since \frac{81}{4} and \frac{108}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-108}{4}-\frac{9}{2}+9$$

Subtract 108 from 81 to get -27.

$$-\frac{27}{4}-\frac{9}{2}+9$$

Least common multiple of 4 and 2 is 4. Convert -\frac{27}{4} and \frac{9}{2} to fractions with denominator 4.

$$-\frac{27}{4}-\frac{18}{4}+9$$

Since -\frac{27}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-18}{4}+9$$

Subtract 18 from -27 to get -45.

$$-\frac{45}{4}+9$$

Convert 9 to fraction \frac{36}{4}.

$$-\frac{45}{4}+\frac{36}{4}$$

Since -\frac{45}{4} and \frac{36}{4} have the same denominator, add them by adding their numerators.

$$\frac{-45+36}{4}$$

Add -45 and 36 to get -9.

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

Factor

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