Solve 1/4:1/5=x:(1-2/5)

$$\frac { 1 } { 4 } : \frac { 1 } { 5 } = x : ( 1 - \frac { 2 } { 5 } )$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

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

$$\frac{1}{4}\times 5=\frac{x}{1-\frac{2}{5}}$$

Multiply \frac{1}{4} and 5 to get \frac{5}{4}.

$$\frac{5}{4}=\frac{x}{1-\frac{2}{5}}$$

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 5 to get 3.

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

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

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

Multiply both sides by \frac{3}{5}.

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

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

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

Cancel out 5 in both numerator and denominator.

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