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

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

Evaluate

$$\frac{135}{4}=33.75$$

Solution Steps

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

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

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

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

Subtract 108 from 81 to get -27.

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

Least common multiple of 4 and 2 is 4. Convert -\frac{27}{4} and \frac{81}{2} to fractions with denominator 4.

$$-\frac{27}{4}-\frac{162}{4}+81$$

Since -\frac{27}{4} and \frac{162}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-162}{4}+81$$

Subtract 162 from -27 to get -189.

$$-\frac{189}{4}+81$$

Convert 81 to fraction \frac{324}{4}.

$$-\frac{189}{4}+\frac{324}{4}$$

Since -\frac{189}{4} and \frac{324}{4} have the same denominator, add them by adding their numerators.

$$\frac{-189+324}{4}$$

Add -189 and 324 to get 135.

$$\frac{135}{4}$$

Factor

$$\frac{3 ^ {3} \cdot 5}{2 ^ {2}} = 33\frac{3}{4} = 33.75$$