Solve x/10=1/4/frac{1{3}}

$$\frac{ x }{ 10 } = \frac{ \frac{ 1 }{ 4 } }{ \frac{ 1 }{ 3 } }$$

Solve for x

$$x = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

$$x=10\times \frac{\frac{1}{4}}{\frac{1}{3}}$$

Divide \frac{1}{4} by \frac{1}{3} by multiplying \frac{1}{4} by the reciprocal of \frac{1}{3}.

$$x=10\times \frac{1}{4}\times 3$$

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

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

Express 10\times \frac{3}{4} as a single fraction.

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

Multiply 10 and 3 to get 30.

$$x=\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{15}{2}$$