Solve x/2.8=9/4.2

$$\frac { x } { 2.8 } = \frac { 9 } { 4.2 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Expand \frac{9}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{x}{2.8}=\frac{90}{42}$$

Reduce the fraction \frac{90}{42} to lowest terms by extracting and canceling out 6.

$$\frac{x}{2.8}=\frac{15}{7}$$

Multiply both sides by 2.8.

$$x=\frac{15}{7}\times 2.8$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{15}{7}\times \frac{14}{5}$$

Multiply \frac{15}{7} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 14}{7\times 5}$$

Do the multiplications in the fraction \frac{15\times 14}{7\times 5}.

$$x=\frac{210}{35}$$

Divide 210 by 35 to get 6.

$$x=6$$