Solve x/0.8={left(5/3right)}^3

$$\frac{ x }{ 0.8 } = { \left( \frac{ 5 }{ 3 } \right) }^{ 3 }$$

Solve for x

$$x = \frac{100}{27} = 3\frac{19}{27} \approx 3.703703704$$

Steps for Solving Linear Equation

Calculate \frac{5}{3} to the power of 3 and get \frac{125}{27}.

$$\frac{x}{0.8}=\frac{125}{27}$$

Multiply both sides by 0.8.

$$x=\frac{125}{27}\times 0.8$$

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.

$$x=\frac{125}{27}\times \frac{4}{5}$$

Multiply \frac{125}{27} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{125\times 4}{27\times 5}$$

Do the multiplications in the fraction \frac{125\times 4}{27\times 5}.

$$x=\frac{500}{135}$$

Reduce the fraction \frac{500}{135} to lowest terms by extracting and canceling out 5.

$$x=\frac{100}{27}$$