Solve x/3div2/5=7/6

$$\frac{ x }{ 3 } \div \frac{ 2 }{ 5 } = \frac{ 7 }{ 6 }$$

Solve for x

$$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{5}.

$$\frac{x}{3}=\frac{7}{6}\times \frac{2}{5}$$

Multiply both sides of the equation by 30, the least common multiple of 3,6,5.

$$10x=35\times \frac{2}{5}$$

Express 35\times \frac{2}{5} as a single fraction.

$$10x=\frac{35\times 2}{5}$$

Multiply 35 and 2 to get 70.

$$10x=\frac{70}{5}$$

Divide 70 by 5 to get 14.

$$10x=14$$

Divide both sides by 10.

$$x=\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{5}$$