Solve {l}{8/6*9/1*3/9}{*8/6-frac{8}{3}}

$$\left. \begin{array} { l } { \frac { 8 } { 6 } \times \frac { 9 } { 1 } \times \frac { 3 } { 9 } } \\ { \times \frac { 8 } { 6 } - \frac { 8 } { 3 } } \end{array} \right.$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply \frac{8}{6} and \frac{8}{6} to get \left(\frac{8}{6}\right)^{2}.

$$\left(\frac{8}{6}\right)^{2}\times \frac{9}{1}\times \frac{3}{9}-\frac{8}{3}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{4}{3}\right)^{2}\times \frac{9}{1}\times \frac{3}{9}-\frac{8}{3}$$

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$\frac{16}{9}\times \frac{9}{1}\times \frac{3}{9}-\frac{8}{3}$$

Anything divided by one gives itself.

$$\frac{16}{9}\times 9\times \frac{3}{9}-\frac{8}{3}$$

Cancel out 9 and 9.

$$16\times \frac{3}{9}-\frac{8}{3}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$16\times \frac{1}{3}-\frac{8}{3}$$

Multiply 16 and \frac{1}{3} to get \frac{16}{3}.

$$\frac{16}{3}-\frac{8}{3}$$

Since \frac{16}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-8}{3}$$

Subtract 8 from 16 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$