Solve 0.25:x=0.80:4

$$0.25 : x = 0.80 : 4$$

Solve for x

$$x=1.25$$

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 4x, the least common multiple of x,4.

$$4\times 0.25=x\times 0.8$$

Multiply 4 and 0.25 to get 1.

$$1=x\times 0.8$$

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

$$x\times 0.8=1$$

Divide both sides by 0.8.

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

Expand \frac{1}{0.8} by multiplying both numerator and the denominator by 10.

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

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

$$x=\frac{5}{4}$$