Solve 15/14:x=4/3:8/9

$$\frac { 15 } { 14 } : x = \frac { 4 } { 3 } : \frac { 8 } { 9 }$$

Solve for x

$$x=\frac{5}{7}\approx 0.714285714$$

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.

$$\frac{15}{14}=x\times \frac{\frac{4}{3}}{\frac{8}{9}}$$

Divide \frac{4}{3} by \frac{8}{9} by multiplying \frac{4}{3} by the reciprocal of \frac{8}{9}.

$$\frac{15}{14}=x\times \frac{4}{3}\times \frac{9}{8}$$

Multiply \frac{4}{3} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{14}=x\times \frac{4\times 9}{3\times 8}$$

Do the multiplications in the fraction \frac{4\times 9}{3\times 8}.

$$\frac{15}{14}=x\times \frac{36}{24}$$

Reduce the fraction \frac{36}{24} to lowest terms by extracting and canceling out 12.

$$\frac{15}{14}=x\times \frac{3}{2}$$

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

$$x\times \frac{3}{2}=\frac{15}{14}$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=\frac{15}{14}\times \frac{2}{3}$$

Multiply \frac{15}{14} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 2}{14\times 3}$$

Do the multiplications in the fraction \frac{15\times 2}{14\times 3}.

$$x=\frac{30}{42}$$

Reduce the fraction \frac{30}{42} to lowest terms by extracting and canceling out 6.

$$x=\frac{5}{7}$$