Solve 83/2+53/2-3*3/2

$$8 \frac{ 3 }{ 2 } +5 \frac{ 3 }{ 2 } -3 \times \frac{ 3 }{ 2 }$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+3}{2}+\frac{5\times 2+3}{2}-3\times \frac{3}{2}$$

Add 16 and 3 to get 19.

$$\frac{19}{2}+\frac{5\times 2+3}{2}-3\times \frac{3}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{19}{2}+\frac{10+3}{2}-3\times \frac{3}{2}$$

Add 10 and 3 to get 13.

$$\frac{19}{2}+\frac{13}{2}-3\times \frac{3}{2}$$

Since \frac{19}{2} and \frac{13}{2} have the same denominator, add them by adding their numerators.

$$\frac{19+13}{2}-3\times \frac{3}{2}$$

Add 19 and 13 to get 32.

$$\frac{32}{2}-3\times \frac{3}{2}$$

Divide 32 by 2 to get 16.

$$16-3\times \frac{3}{2}$$

Express 3\times \frac{3}{2} as a single fraction.

$$16-\frac{3\times 3}{2}$$

Multiply 3 and 3 to get 9.

$$16-\frac{9}{2}$$

Convert 16 to fraction \frac{32}{2}.

$$\frac{32}{2}-\frac{9}{2}$$

Since \frac{32}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-9}{2}$$

Subtract 9 from 32 to get 23.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$