Solve 14/50:x=18/30:10/6

$$\frac { 14 } { 50 } : x = \frac { 18 } { 30 } : \frac { 10 } { 6 }$$

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

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.

$$\frac{14}{50}=\frac{3}{5}x\times \frac{18}{30}$$

Reduce the fraction \frac{14}{50} to lowest terms by extracting and canceling out 2.

$$\frac{7}{25}=\frac{3}{5}x\times \frac{18}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{7}{25}=\frac{3}{5}x\times \frac{3}{5}$$

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

$$\frac{7}{25}=\frac{3\times 3}{5\times 5}x$$

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

$$\frac{7}{25}=\frac{9}{25}x$$

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

$$\frac{9}{25}x=\frac{7}{25}$$

Multiply both sides by \frac{25}{9}, the reciprocal of \frac{9}{25}.

$$x=\frac{7}{25}\times \frac{25}{9}$$

Multiply \frac{7}{25} times \frac{25}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 25}{25\times 9}$$

Cancel out 25 in both numerator and denominator.

$$x=\frac{7}{9}$$