Solve x*9/10=0.8

$$x \times \frac{ 9 }{ 10 } = 0.8$$

Solve for x

$$x=\frac{8}{9}\approx 0.888888889$$

Steps for Solving Linear Equation

Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.

$$x=0.8\times \frac{10}{9}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{5}\times \frac{10}{9}$$

Multiply \frac{4}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 10}{5\times 9}$$

Do the multiplications in the fraction \frac{4\times 10}{5\times 9}.

$$x=\frac{40}{45}$$

Reduce the fraction \frac{40}{45} to lowest terms by extracting and canceling out 5.

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