Solve 10:x=2/3div4/5

$$10 : x = \frac { 2 } { 3 } \div \frac { 4 } { 5 }$$

Solve for x

$$x=12$$

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.

$$10=x\times \frac{\frac{2}{3}}{\frac{4}{5}}$$

Divide \frac{2}{3} by \frac{4}{5} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{5}.

$$10=x\times \frac{2}{3}\times \frac{5}{4}$$

Multiply \frac{2}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$10=x\times \frac{2\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 4}.

$$10=x\times \frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$10=x\times \frac{5}{6}$$

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

$$x\times \frac{5}{6}=10$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=10\times \frac{6}{5}$$

Express 10\times \frac{6}{5} as a single fraction.

$$x=\frac{10\times 6}{5}$$

Multiply 10 and 6 to get 60.

$$x=\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$x=12$$