Solve 27/8div3/2=18/28divx

$$\frac{ 27 }{ 8 } \div \frac{ 3 }{ 2 } = \frac{ 18 }{ 28 } \div x$$

Solve for x

$$x=\frac{2}{7}\approx 0.285714286$$

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.

$$x\times \frac{\frac{27}{8}}{\frac{3}{2}}=\frac{18}{28}$$

Divide \frac{27}{8} by \frac{3}{2} by multiplying \frac{27}{8} by the reciprocal of \frac{3}{2}.

$$x\times \frac{27}{8}\times \frac{2}{3}=\frac{18}{28}$$

Multiply \frac{27}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{27\times 2}{8\times 3}=\frac{18}{28}$$

Do the multiplications in the fraction \frac{27\times 2}{8\times 3}.

$$x\times \frac{54}{24}=\frac{18}{28}$$

Reduce the fraction \frac{54}{24} to lowest terms by extracting and canceling out 6.

$$x\times \frac{9}{4}=\frac{18}{28}$$

Reduce the fraction \frac{18}{28} to lowest terms by extracting and canceling out 2.

$$x\times \frac{9}{4}=\frac{9}{14}$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$x=\frac{9}{14}\times \frac{4}{9}$$

Multiply \frac{9}{14} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 4}{14\times 9}$$

Cancel out 9 in both numerator and denominator.

$$x=\frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{2}{7}$$