Solve 10/x=0.8/4.5

$$\frac{ 10 }{ x } = \frac{ 0.8 }{ 4.5 }$$

Solve for x

$$x=56.25$$

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.

$$10=x\times \frac{0.8}{4.5}$$

Expand \frac{0.8}{4.5} by multiplying both numerator and the denominator by 10.

$$10=x\times \frac{8}{45}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{8}{45}=10$$

Multiply both sides by \frac{45}{8}, the reciprocal of \frac{8}{45}.

$$x=10\times \frac{45}{8}$$

Express 10\times \frac{45}{8} as a single fraction.

$$x=\frac{10\times 45}{8}$$

Multiply 10 and 45 to get 450.

$$x=\frac{450}{8}$$

Reduce the fraction \frac{450}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{225}{4}$$