Solve 2/3:x=6:21/4

$$\frac { 2 } { 3 } : x = 6 : 2 \frac { 1 } { 4 }$$

Solve for x

$$x=\frac{1}{4}=0.25$$

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.

$$\frac{2}{3}=\frac{4}{9}x\times 6$$

Express \frac{4}{9}\times 6 as a single fraction.

$$\frac{2}{3}=\frac{4\times 6}{9}x$$

Multiply 4 and 6 to get 24.

$$\frac{2}{3}=\frac{24}{9}x$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}=\frac{8}{3}x$$

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

$$\frac{8}{3}x=\frac{2}{3}$$

Multiply both sides by \frac{3}{8}, the reciprocal of \frac{8}{3}.

$$x=\frac{2}{3}\times \frac{3}{8}$$

Multiply \frac{2}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{4}$$