Solve (a+10%)+12%=739.2

$$(a+10 \% )+12 \% =739.2$$

Solve for a

$$a=738.98$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$a+\frac{1}{10}+\frac{12}{100}=739.2$$

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$a+\frac{1}{10}+\frac{3}{25}=739.2$$

Least common multiple of 10 and 25 is 50. Convert \frac{1}{10} and \frac{3}{25} to fractions with denominator 50.

$$a+\frac{5}{50}+\frac{6}{50}=739.2$$

Since \frac{5}{50} and \frac{6}{50} have the same denominator, add them by adding their numerators.

$$a+\frac{5+6}{50}=739.2$$

Add 5 and 6 to get 11.

$$a+\frac{11}{50}=739.2$$

Subtract \frac{11}{50} from both sides.

$$a=739.2-\frac{11}{50}$$

Convert decimal number 739.2 to fraction \frac{7392}{10}. Reduce the fraction \frac{7392}{10} to lowest terms by extracting and canceling out 2.

$$a=\frac{3696}{5}-\frac{11}{50}$$

Least common multiple of 5 and 50 is 50. Convert \frac{3696}{5} and \frac{11}{50} to fractions with denominator 50.

$$a=\frac{36960}{50}-\frac{11}{50}$$

Since \frac{36960}{50} and \frac{11}{50} have the same denominator, subtract them by subtracting their numerators.

$$a=\frac{36960-11}{50}$$

Subtract 11 from 36960 to get 36949.

$$a=\frac{36949}{50}$$