Solve A=2+8/9+frac{5{19}}

$$A = 2 + \frac { 8 } { 9 + \frac { 5 } { 19 } }$$

Solve for A

$$A = \frac{63}{22} = 2\frac{19}{22} \approx 2.863636364$$

Steps for Solving Linear Equation

Convert 9 to fraction \frac{171}{19}.

$$A=2+\frac{8}{\frac{171}{19}+\frac{5}{19}}$$

Since \frac{171}{19} and \frac{5}{19} have the same denominator, add them by adding their numerators.

$$A=2+\frac{8}{\frac{171+5}{19}}$$

Add 171 and 5 to get 176.

$$A=2+\frac{8}{\frac{176}{19}}$$

Divide 8 by \frac{176}{19} by multiplying 8 by the reciprocal of \frac{176}{19}.

$$A=2+8\times \frac{19}{176}$$

Express 8\times \frac{19}{176} as a single fraction.

$$A=2+\frac{8\times 19}{176}$$

Multiply 8 and 19 to get 152.

$$A=2+\frac{152}{176}$$

Reduce the fraction \frac{152}{176} to lowest terms by extracting and canceling out 8.

$$A=2+\frac{19}{22}$$

Convert 2 to fraction \frac{44}{22}.

$$A=\frac{44}{22}+\frac{19}{22}$$

Since \frac{44}{22} and \frac{19}{22} have the same denominator, add them by adding their numerators.

$$A=\frac{44+19}{22}$$

Add 44 and 19 to get 63.

$$A=\frac{63}{22}$$

Assign A

$$A≔\frac{63}{22}$$