Solve (83/2+53/2)-(33/2)

$$( 8 \frac { 3 } { 2 } + 5 \frac { 3 } { 2 } ) - ( 3 \frac { 3 } { 2 } )$$

Evaluate

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

Solution Steps

Multiply 8 and 2 to get 16.

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

Add 16 and 3 to get 19.

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

Multiply 5 and 2 to get 10.

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

Add 10 and 3 to get 13.

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

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

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

Add 19 and 13 to get 32.

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

Divide 32 by 2 to get 16.

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

Multiply 3 and 2 to get 6.

$$16-\frac{6+3}{2}$$

Add 6 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

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