Solve 1/0.454=0.8/x

$$\frac{ 1 }{ 0.454 } = \frac{ 0.8 }{ x }$$

Solve for x

$$x=0.3632$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{1}{0.454}=0.8$$

Expand \frac{1}{0.454} by multiplying both numerator and the denominator by 1000.

$$x\times \frac{1000}{454}=0.8$$

Reduce the fraction \frac{1000}{454} to lowest terms by extracting and canceling out 2.

$$x\times \frac{500}{227}=0.8$$

Multiply both sides by \frac{227}{500}, the reciprocal of \frac{500}{227}.

$$x=0.8\times \frac{227}{500}$$

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.

$$x=\frac{4}{5}\times \frac{227}{500}$$

Multiply \frac{4}{5} times \frac{227}{500} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 227}{5\times 500}$$

Do the multiplications in the fraction \frac{4\times 227}{5\times 500}.

$$x=\frac{908}{2500}$$

Reduce the fraction \frac{908}{2500} to lowest terms by extracting and canceling out 4.

$$x=\frac{227}{625}$$