Solve 8/9div2/3*1/2-1/6

$$\frac { 8 } { 9 } \div \frac { 2 } { 3 } \times \frac { 1 } { 2 } - \frac { 1 } { 6 }$$

Evaluate

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

Solution Steps

Divide \frac{8}{9} by \frac{2}{3} by multiplying \frac{8}{9} by the reciprocal of \frac{2}{3}.

$$\frac{8}{9}\times \frac{3}{2}\times \frac{1}{2}-\frac{1}{6}$$

Multiply \frac{8}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 3}{9\times 2}\times \frac{1}{2}-\frac{1}{6}$$

Do the multiplications in the fraction \frac{8\times 3}{9\times 2}.

$$\frac{24}{18}\times \frac{1}{2}-\frac{1}{6}$$

Reduce the fraction \frac{24}{18} to lowest terms by extracting and canceling out 6.

$$\frac{4}{3}\times \frac{1}{2}-\frac{1}{6}$$

Multiply \frac{4}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{3\times 2}-\frac{1}{6}$$

Do the multiplications in the fraction \frac{4\times 1}{3\times 2}.

$$\frac{4}{6}-\frac{1}{6}$$

Since \frac{4}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{6}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

Factor

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