Solve 10/x=4.5/0.8

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

Solve for x

$$x = \frac{16}{9} = 1\frac{7}{9} \approx 1.777777778$$

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.

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

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

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

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

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

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

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

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

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

Multiply 10 and 8 to get 80.

$$x=\frac{80}{45}$$

Reduce the fraction \frac{80}{45} to lowest terms by extracting and canceling out 5.

$$x=\frac{16}{9}$$