Solve 8/6{frac{3/4}}-3/2

$$\frac{ 8 }{ \frac{ 6 }{ \frac{ 3 }{ 4 } } } - \frac{ 3 }{ 2 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Divide 8 by \frac{6}{\frac{3}{4}} by multiplying 8 by the reciprocal of \frac{6}{\frac{3}{4}}.

$$\frac{8\times \frac{3}{4}}{6}-\frac{3}{2}$$

Express 8\times \frac{3}{4} as a single fraction.

$$\frac{\frac{8\times 3}{4}}{6}-\frac{3}{2}$$

Multiply 8 and 3 to get 24.

$$\frac{\frac{24}{4}}{6}-\frac{3}{2}$$

Divide 24 by 4 to get 6.

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

Divide 6 by 6 to get 1.

$$1-\frac{3}{2}$$

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 2 to get -1.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$