Solve 8:4.2=x:9.6

$$8 : 4.2 = x : 9.6$$

Solve for x

$$x = \frac{128}{7} = 18\frac{2}{7} \approx 18.285714286$$

Steps for Solving Linear Equation

Expand \frac{8}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{80}{42}=\frac{x}{9.6}$$

Reduce the fraction \frac{80}{42} to lowest terms by extracting and canceling out 2.

$$\frac{40}{21}=\frac{x}{9.6}$$

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

$$\frac{x}{9.6}=\frac{40}{21}$$

Multiply both sides by 9.6.

$$x=\frac{40}{21}\times 9.6$$

Convert decimal number 9.6 to fraction \frac{96}{10}. Reduce the fraction \frac{96}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{40}{21}\times \frac{48}{5}$$

Multiply \frac{40}{21} times \frac{48}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{40\times 48}{21\times 5}$$

Do the multiplications in the fraction \frac{40\times 48}{21\times 5}.

$$x=\frac{1920}{105}$$

Reduce the fraction \frac{1920}{105} to lowest terms by extracting and canceling out 15.

$$x=\frac{128}{7}$$