Solve 2/frac{3{5}}=3x

$$\frac { 2 } { \frac { 3 } { 5 } } = 3 x$$

Solve for x

$$x = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111$$

Steps for Solving Linear Equation

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

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

Express 2\times \frac{5}{3} as a single fraction.

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

Multiply 2 and 5 to get 10.

$$\frac{10}{3}=3x$$

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

$$3x=\frac{10}{3}$$

Divide both sides by 3.

$$x=\frac{\frac{10}{3}}{3}$$

Express \frac{\frac{10}{3}}{3} as a single fraction.

$$x=\frac{10}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$x=\frac{10}{9}$$