Solve 3/2:x=4/11:16/9

$$\frac { 3 } { 2 } : x = \frac { 4 } { 11 } : \frac { 16 } { 9 }$$

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

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.

$$\frac{3}{2}=x\times \frac{\frac{4}{11}}{\frac{16}{9}}$$

Divide \frac{4}{11} by \frac{16}{9} by multiplying \frac{4}{11} by the reciprocal of \frac{16}{9}.

$$\frac{3}{2}=x\times \frac{4}{11}\times \frac{9}{16}$$

Multiply \frac{4}{11} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}=x\times \frac{4\times 9}{11\times 16}$$

Do the multiplications in the fraction \frac{4\times 9}{11\times 16}.

$$\frac{3}{2}=x\times \frac{36}{176}$$

Reduce the fraction \frac{36}{176} to lowest terms by extracting and canceling out 4.

$$\frac{3}{2}=x\times \frac{9}{44}$$

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

$$x\times \frac{9}{44}=\frac{3}{2}$$

Multiply both sides by \frac{44}{9}, the reciprocal of \frac{9}{44}.

$$x=\frac{3}{2}\times \frac{44}{9}$$

Multiply \frac{3}{2} times \frac{44}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 44}{2\times 9}$$

Do the multiplications in the fraction \frac{3\times 44}{2\times 9}.

$$x=\frac{132}{18}$$

Reduce the fraction \frac{132}{18} to lowest terms by extracting and canceling out 6.

$$x=\frac{22}{3}$$