Solve x/3frac{1{3}}=3+11/2/3

$$\frac { x } { 3 \frac { 1 } { 3 } } = \frac { 3 + 1 \frac { 1 } { 2 } } { 3 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\frac{9}{10}x=3+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{9}{10}x=3+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{9}{10}x=3+\frac{3}{2}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{9}{10}x=\frac{6}{2}+\frac{3}{2}$$

Since \frac{6}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{9}{10}x=\frac{6+3}{2}$$

Add 6 and 3 to get 9.

$$\frac{9}{10}x=\frac{9}{2}$$

Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.

$$x=\frac{9}{2}\times \frac{10}{9}$$

Multiply \frac{9}{2} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 10}{2\times 9}$$

Cancel out 9 in both numerator and denominator.

$$x=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$x=5$$