Solve A_{2}=2*1/15-10/9+3

$$A _ { 2 } = 2 \cdot \frac { 1 } { 15 } - \frac { 10 } { 9 } + 3$$

Solve for A_2

$$A_{2} = \frac{91}{45} = 2\frac{1}{45} \approx 2.022222222$$

Steps for Solving Linear Equation

Multiply 2 and \frac{1}{15} to get \frac{2}{15}.

$$A_{2}=\frac{2}{15}-\frac{10}{9}+3$$

Least common multiple of 15 and 9 is 45. Convert \frac{2}{15} and \frac{10}{9} to fractions with denominator 45.

$$A_{2}=\frac{6}{45}-\frac{50}{45}+3$$

Since \frac{6}{45} and \frac{50}{45} have the same denominator, subtract them by subtracting their numerators.

$$A_{2}=\frac{6-50}{45}+3$$

Subtract 50 from 6 to get -44.

$$A_{2}=-\frac{44}{45}+3$$

Convert 3 to fraction \frac{135}{45}.

$$A_{2}=-\frac{44}{45}+\frac{135}{45}$$

Since -\frac{44}{45} and \frac{135}{45} have the same denominator, add them by adding their numerators.

$$A_{2}=\frac{-44+135}{45}$$

Add -44 and 135 to get 91.

$$A_{2}=\frac{91}{45}$$

Assign A_2

$$A_{2}≔\frac{91}{45}$$