Solve A_{2}=58.25/160*121+42.75/100+123

$$A _ { 2 } = \frac { 58.25 } { 160 } \cdot 121 + \frac { 42.75 } { 100 } + 123$$

Solve for A_2

$$A_{2}=167.4790625$$

Steps for Solving Linear Equation

Expand \frac{58.25}{160} by multiplying both numerator and the denominator by 100.

$$A_{2}=\frac{5825}{16000}\times 121+\frac{42.75}{100}+123$$

Reduce the fraction \frac{5825}{16000} to lowest terms by extracting and canceling out 25.

$$A_{2}=\frac{233}{640}\times 121+\frac{42.75}{100}+123$$

Express \frac{233}{640}\times 121 as a single fraction.

$$A_{2}=\frac{233\times 121}{640}+\frac{42.75}{100}+123$$

Multiply 233 and 121 to get 28193.

$$A_{2}=\frac{28193}{640}+\frac{42.75}{100}+123$$

Expand \frac{42.75}{100} by multiplying both numerator and the denominator by 100.

$$A_{2}=\frac{28193}{640}+\frac{4275}{10000}+123$$

Reduce the fraction \frac{4275}{10000} to lowest terms by extracting and canceling out 25.

$$A_{2}=\frac{28193}{640}+\frac{171}{400}+123$$

Least common multiple of 640 and 400 is 3200. Convert \frac{28193}{640} and \frac{171}{400} to fractions with denominator 3200.

$$A_{2}=\frac{140965}{3200}+\frac{1368}{3200}+123$$

Since \frac{140965}{3200} and \frac{1368}{3200} have the same denominator, add them by adding their numerators.

$$A_{2}=\frac{140965+1368}{3200}+123$$

Add 140965 and 1368 to get 142333.

$$A_{2}=\frac{142333}{3200}+123$$

Convert 123 to fraction \frac{393600}{3200}.

$$A_{2}=\frac{142333}{3200}+\frac{393600}{3200}$$

Since \frac{142333}{3200} and \frac{393600}{3200} have the same denominator, add them by adding their numerators.

$$A_{2}=\frac{142333+393600}{3200}$$

Add 142333 and 393600 to get 535933.

$$A_{2}=\frac{535933}{3200}$$

Assign A_2

$$A_{2}≔167.4790625$$