Solve x/0.28=0.6/0.42

$$\frac { x } { 0.28 } = \frac { 0.6 } { 0.42 }$$

Solve for x

$$x=0.4$$

Steps for Solving Linear Equation

Expand \frac{0.6}{0.42} by multiplying both numerator and the denominator by 100.

$$\frac{x}{0.28}=\frac{60}{42}$$

Reduce the fraction \frac{60}{42} to lowest terms by extracting and canceling out 6.

$$\frac{x}{0.28}=\frac{10}{7}$$

Multiply both sides by 0.28.

$$x=\frac{10}{7}\times 0.28$$

Convert decimal number 0.28 to fraction \frac{28}{100}. Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{10}{7}\times \frac{7}{25}$$

Multiply \frac{10}{7} times \frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{10\times 7}{7\times 25}$$

Cancel out 7 in both numerator and denominator.

$$x=\frac{10}{25}$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

$$x=\frac{2}{5}$$