Solve 321/2-8.5-(321/2*3/5)

$$32 \frac { 1 } { 2 } - 8.5 - ( 32 \frac { 1 } { 2 } \times \frac { 3 } { 5 } )$$

Evaluate

$$4.5$$

Solution Steps

Multiply 32 and 2 to get 64.

$$\frac{64+1}{2}-8.5-\frac{32\times 2+1}{2}\times \frac{3}{5}$$

Add 64 and 1 to get 65.

$$\frac{65}{2}-8.5-\frac{32\times 2+1}{2}\times \frac{3}{5}$$

Convert decimal number 8.5 to fraction \frac{85}{10}. Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$\frac{65}{2}-\frac{17}{2}-\frac{32\times 2+1}{2}\times \frac{3}{5}$$

Since \frac{65}{2} and \frac{17}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-17}{2}-\frac{32\times 2+1}{2}\times \frac{3}{5}$$

Subtract 17 from 65 to get 48.

$$\frac{48}{2}-\frac{32\times 2+1}{2}\times \frac{3}{5}$$

Divide 48 by 2 to get 24.

$$24-\frac{32\times 2+1}{2}\times \frac{3}{5}$$

Multiply 32 and 2 to get 64.

$$24-\frac{64+1}{2}\times \frac{3}{5}$$

Add 64 and 1 to get 65.

$$24-\frac{65}{2}\times \frac{3}{5}$$

Multiply \frac{65}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$24-\frac{65\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{65\times 3}{2\times 5}.

$$24-\frac{195}{10}$$

Reduce the fraction \frac{195}{10} to lowest terms by extracting and canceling out 5.

$$24-\frac{39}{2}$$

Convert 24 to fraction \frac{48}{2}.

$$\frac{48}{2}-\frac{39}{2}$$

Since \frac{48}{2} and \frac{39}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-39}{2}$$

Subtract 39 from 48 to get 9.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$