Solve 1/2:3/4=x:6

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

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

Divide \frac{1}{2} by \frac{3}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{4}.

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

Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.

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

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

Express 6\times \frac{2}{3} as a single fraction.

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

Multiply 6 and 2 to get 12.

$$\frac{12}{3}=x$$

Divide 12 by 3 to get 4.

$$4=x$$

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

$$x=4$$