Solve x=8/9*3/3/frac{9*3{3*6}}

$$x = \frac { \frac { 8 } { 9 } \times \frac { 3 } { 3 } } { \frac { 9 \times 3 } { 3 \times 6 } }$$

Solve for x

$$x=\frac{16}{27}\approx 0.592592593$$

Steps for Solving Linear Equation

Divide 3 by 3 to get 1.

$$x=\frac{\frac{8}{9}\times 1}{\frac{9\times 3}{3\times 6}}$$

Multiply \frac{8}{9} and 1 to get \frac{8}{9}.

$$x=\frac{\frac{8}{9}}{\frac{9\times 3}{3\times 6}}$$

Cancel out 3\times 3 in both numerator and denominator.

$$x=\frac{\frac{8}{9}}{\frac{3}{2}}$$

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

$$x=\frac{8}{9}\times \frac{2}{3}$$

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

$$x=\frac{8\times 2}{9\times 3}$$

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

$$x=\frac{16}{27}$$

Assign x

$$x≔\frac{16}{27}$$