Solve 2/3:1/2=5/6:x

$$\frac { 2 } { 3 } : \frac { 1 } { 2 } = \frac { 5 } { 6 } : x$$

Solve for x

$$x=\frac{5}{8}=0.625$$

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.

$$x\times \frac{\frac{2}{3}}{\frac{1}{2}}=\frac{5}{6}$$

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

$$x\times \frac{2}{3}\times 2=\frac{5}{6}$$

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

$$x\times \frac{2\times 2}{3}=\frac{5}{6}$$

Multiply 2 and 2 to get 4.

$$x\times \frac{4}{3}=\frac{5}{6}$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=\frac{5}{6}\times \frac{3}{4}$$

Multiply \frac{5}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 3}{6\times 4}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 4}.

$$x=\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$x=\frac{5}{8}$$