Solve 32/8+27/4-9/2

$$\frac{ 32 }{ 8 } + \frac{ 27 }{ 4 } - \frac{ 9 }{ 2 }$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Divide 32 by 8 to get 4.

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

Convert 4 to fraction \frac{16}{4}.

$$\frac{16}{4}+\frac{27}{4}-\frac{9}{2}$$

Since \frac{16}{4} and \frac{27}{4} have the same denominator, add them by adding their numerators.

$$\frac{16+27}{4}-\frac{9}{2}$$

Add 16 and 27 to get 43.

$$\frac{43}{4}-\frac{9}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{43}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{43}{4}-\frac{18}{4}$$

Since \frac{43}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-18}{4}$$

Subtract 18 from 43 to get 25.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$