Solve 2/3:7/11=x:14/5

$$\frac { 2 } { 3 } : \frac { 7 } { 11 } = x : \frac { 14 } { 5 }$$

Solve for x

$$x = \frac{44}{15} = 2\frac{14}{15} \approx 2.933333333$$

Steps for Solving Linear Equation

Divide \frac{2}{3} by \frac{7}{11} by multiplying \frac{2}{3} by the reciprocal of \frac{7}{11}.

$$\frac{2}{3}\times \frac{11}{7}=\frac{x}{\frac{14}{5}}$$

Multiply \frac{2}{3} times \frac{11}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 11}{3\times 7}=\frac{x}{\frac{14}{5}}$$

Do the multiplications in the fraction \frac{2\times 11}{3\times 7}.

$$\frac{22}{21}=\frac{x}{\frac{14}{5}}$$

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

$$\frac{x}{\frac{14}{5}}=\frac{22}{21}$$

Multiply both sides by \frac{14}{5}.

$$x=\frac{22}{21}\times \frac{14}{5}$$

Multiply \frac{22}{21} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{22\times 14}{21\times 5}$$

Do the multiplications in the fraction \frac{22\times 14}{21\times 5}.

$$x=\frac{308}{105}$$

Reduce the fraction \frac{308}{105} to lowest terms by extracting and canceling out 7.

$$x=\frac{44}{15}$$