Solve 4/4+frac{8{x}}=0.24

$$\frac { 4 } { 4 + \frac { 8 } { x } } = 0.24$$

Solve for x

$$x=\frac{12}{19}\approx 0.631578947$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x}{x}.

$$\frac{4}{\frac{4x}{x}+\frac{8}{x}}=0.24$$

Since \frac{4x}{x} and \frac{8}{x} have the same denominator, add them by adding their numerators.

$$\frac{4}{\frac{4x+8}{x}}=0.24$$

Variable x cannot be equal to 0 since division by zero is not defined. Divide 4 by \frac{4x+8}{x} by multiplying 4 by the reciprocal of \frac{4x+8}{x}.

$$\frac{4x}{4x+8}=0.24$$

Factor the expressions that are not already factored in \frac{4x}{4x+8}.

$$\frac{4x}{4\left(x+2\right)}=0.24$$

Cancel out 4 in both numerator and denominator.

$$\frac{x}{x+2}=0.24$$

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$x=0.24\left(x+2\right)$$

Use the distributive property to multiply 0.24 by x+2.

$$x=0.24x+0.48$$

Subtract 0.24x from both sides.

$$x-0.24x=0.48$$

Combine x and -0.24x to get 0.76x.

$$0.76x=0.48$$

Divide both sides by 0.76.

$$x=\frac{0.48}{0.76}$$

Expand \frac{0.48}{0.76} by multiplying both numerator and the denominator by 100.

$$x=\frac{48}{76}$$

Reduce the fraction \frac{48}{76} to lowest terms by extracting and canceling out 4.

$$x=\frac{12}{19}$$