Solve x:3/4=1/5:2/4

$$x : \frac { 3 } { 4 } = \frac { 1 } { 5 } : \frac { 2 } { 4 }$$

Solve for x

$$x=\frac{3}{10}=0.3$$

Steps for Solving Linear Equation

Divide \frac{1}{5} by \frac{2}{4} by multiplying \frac{1}{5} by the reciprocal of \frac{2}{4}.

$$\frac{x}{\frac{3}{4}}=\frac{4}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{x}{\frac{3}{4}}=\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{x}{\frac{3}{4}}=\frac{2}{5}$$

Multiply both sides by \frac{3}{4}.

$$x=\frac{2}{5}\times \frac{3}{4}$$

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$x=\frac{6}{20}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

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