Solve x/0.16=0.45/0.24

$$\frac { x } { 0.16 } = \frac { 0.45 } { 0.24 }$$

Solve for x

$$x=0.3$$

Steps for Solving Linear Equation

Expand \frac{0.45}{0.24} by multiplying both numerator and the denominator by 100.

$$\frac{x}{0.16}=\frac{45}{24}$$

Reduce the fraction \frac{45}{24} to lowest terms by extracting and canceling out 3.

$$\frac{x}{0.16}=\frac{15}{8}$$

Multiply both sides by 0.16.

$$x=\frac{15}{8}\times 0.16$$

Convert decimal number 0.16 to fraction \frac{16}{100}. Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{15}{8}\times \frac{4}{25}$$

Multiply \frac{15}{8} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 4}{8\times 25}$$

Do the multiplications in the fraction \frac{15\times 4}{8\times 25}.

$$x=\frac{60}{200}$$

Reduce the fraction \frac{60}{200} to lowest terms by extracting and canceling out 20.

$$x=\frac{3}{10}$$