Solve 1/3/frac{10{3}}=x/6

$$\frac { \frac { 1 } { 3 } } { \frac { 10 } { 3 } } = \frac { x } { 6 }$$

Solve for x

$$x=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6\times \frac{\frac{1}{3}}{\frac{10}{3}}=x$$

Divide \frac{1}{3} by \frac{10}{3} by multiplying \frac{1}{3} by the reciprocal of \frac{10}{3}.

$$6\times \frac{1}{3}\times \frac{3}{10}=x$$

Multiply \frac{1}{3} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$6\times \frac{1\times 3}{3\times 10}=x$$

Cancel out 3 in both numerator and denominator.

$$6\times \frac{1}{10}=x$$

Multiply 6 and \frac{1}{10} to get \frac{6}{10}.

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

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

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

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

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