Solve ((3700-2422.81):0.1088)+142.20

$$( ( 3700 - 2422.81 ) : 0.1088 ) + 142.20$$

Evaluate

$$\frac{16158267}{1360}\approx 11881.078676471$$

Solution Steps

Subtract 2422.81 from 3700 to get 1277.19.

$$\frac{1277.19}{0.1088}+142.2$$

Expand \frac{1277.19}{0.1088} by multiplying both numerator and the denominator by 10000.

$$\frac{12771900}{1088}+142.2$$

Reduce the fraction \frac{12771900}{1088} to lowest terms by extracting and canceling out 4.

$$\frac{3192975}{272}+142.2$$

Convert decimal number 142.2 to fraction \frac{1422}{10}. Reduce the fraction \frac{1422}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3192975}{272}+\frac{711}{5}$$

Least common multiple of 272 and 5 is 1360. Convert \frac{3192975}{272} and \frac{711}{5} to fractions with denominator 1360.

$$\frac{15964875}{1360}+\frac{193392}{1360}$$

Since \frac{15964875}{1360} and \frac{193392}{1360} have the same denominator, add them by adding their numerators.

$$\frac{15964875+193392}{1360}$$

Add 15964875 and 193392 to get 16158267.

$$\frac{16158267}{1360}$$

Factor

$$\frac{1795363 \cdot 3 ^ {2}}{5 \cdot 17 \cdot 2 ^ {4}} = 11881\frac{107}{1360} = 11881.078676470588$$