Solve x=5+1/213/1+frac{1{2}}

$$x = \frac{ 5+ \frac{ 1 }{ 2 } 13 }{ 1+ \frac{ 1 }{ 2 } }$$

Solve for x

$$x = \frac{23}{3} = 7\frac{2}{3} \approx 7.666666667$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 13 to get \frac{13}{2}.

$$x=\frac{5+\frac{13}{2}}{1+\frac{1}{2}}$$

Convert 5 to fraction \frac{10}{2}.

$$x=\frac{\frac{10}{2}+\frac{13}{2}}{1+\frac{1}{2}}$$

Since \frac{10}{2} and \frac{13}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{\frac{10+13}{2}}{1+\frac{1}{2}}$$

Add 10 and 13 to get 23.

$$x=\frac{\frac{23}{2}}{1+\frac{1}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$x=\frac{\frac{23}{2}}{\frac{2}{2}+\frac{1}{2}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{\frac{23}{2}}{\frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$x=\frac{\frac{23}{2}}{\frac{3}{2}}$$

Divide \frac{23}{2} by \frac{3}{2} by multiplying \frac{23}{2} by the reciprocal of \frac{3}{2}.

$$x=\frac{23}{2}\times \frac{2}{3}$$

Multiply \frac{23}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{23\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{23}{3}$$

Assign x

$$x≔\frac{23}{3}$$