Solve 8:4.2=x:9.6quad18

$$8 : 4.2 = x : 9.6 \quad 18$$

Solve for x

$$x = \frac{64}{63} = 1\frac{1}{63} \approx 1.015873016$$

Steps for Solving Linear Equation

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

$$\frac{80}{42}=\frac{x}{9.6}\times 18$$

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

$$\frac{40}{21}=\frac{x}{9.6}\times 18$$

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

$$\frac{x}{9.6}\times 18=\frac{40}{21}$$

Divide both sides by 18.

$$\frac{x}{9.6}=\frac{\frac{40}{21}}{18}$$

Express \frac{\frac{40}{21}}{18} as a single fraction.

$$\frac{x}{9.6}=\frac{40}{21\times 18}$$

Multiply 21 and 18 to get 378.

$$\frac{x}{9.6}=\frac{40}{378}$$

Reduce the fraction \frac{40}{378} to lowest terms by extracting and canceling out 2.

$$\frac{x}{9.6}=\frac{20}{189}$$

Multiply both sides by 9.6.

$$x=\frac{20}{189}\times 9.6$$

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.

$$x=\frac{20}{189}\times \frac{48}{5}$$

Multiply \frac{20}{189} times \frac{48}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{20\times 48}{189\times 5}$$

Do the multiplications in the fraction \frac{20\times 48}{189\times 5}.

$$x=\frac{960}{945}$$

Reduce the fraction \frac{960}{945} to lowest terms by extracting and canceling out 15.

$$x=\frac{64}{63}$$