Solve 4/9div8/3=xdiv5/3=

$$\frac{ 4 }{ 9 } \div \frac { 8 } { 3 } = x \div \frac { 5 } { 3 } =$$

Solve for x

$$x=\frac{5}{18}\approx 0.277777778$$

Steps for Solving Linear Equation

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

$$\frac{4}{9}\times \frac{3}{8}=\frac{x}{\frac{5}{3}}$$

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

$$\frac{4\times 3}{9\times 8}=\frac{x}{\frac{5}{3}}$$

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

$$\frac{12}{72}=\frac{x}{\frac{5}{3}}$$

Reduce the fraction \frac{12}{72} to lowest terms by extracting and canceling out 12.

$$\frac{1}{6}=\frac{x}{\frac{5}{3}}$$

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

$$\frac{x}{\frac{5}{3}}=\frac{1}{6}$$

Multiply both sides by \frac{5}{3}.

$$x=\frac{1}{6}\times \frac{5}{3}$$

Multiply \frac{1}{6} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 5}{6\times 3}$$

Do the multiplications in the fraction \frac{1\times 5}{6\times 3}.

$$x=\frac{5}{18}$$