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

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

Solve for x

$$x=\frac{4}{15}\approx 0.266666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{1}{3}=x\times \frac{\frac{1}{4}}{\frac{1}{5}}$$

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

$$\frac{1}{3}=x\times \frac{1}{4}\times 5$$

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

$$\frac{1}{3}=x\times \frac{5}{4}$$

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

$$x\times \frac{5}{4}=\frac{1}{3}$$

Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.

$$x=\frac{1}{3}\times \frac{4}{5}$$

Multiply \frac{1}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 4}{3\times 5}$$

Do the multiplications in the fraction \frac{1\times 4}{3\times 5}.

$$x=\frac{4}{15}$$