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

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

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Divide 2 by \frac{1}{3} by multiplying 2 by the reciprocal of \frac{1}{3}.

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

Multiply 2 and 3 to get 6.

$$\frac{x}{\frac{3}{4}}=6$$

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

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

Express 6\times \frac{3}{4} as a single fraction.

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

Multiply 6 and 3 to get 18.

$$x=\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

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