Solve 19-17.86/9.4+19

$$19- \frac{ 17.86 }{ 9.4 } +19$$

Evaluate

$$36.1$$

Solution Steps

Expand \frac{17.86}{9.4} by multiplying both numerator and the denominator by 100.

$$19-\frac{1786}{940}+19$$

Reduce the fraction \frac{1786}{940} to lowest terms by extracting and canceling out 94.

$$19-\frac{19}{10}+19$$

Convert 19 to fraction \frac{190}{10}.

$$\frac{190}{10}-\frac{19}{10}+19$$

Since \frac{190}{10} and \frac{19}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{190-19}{10}+19$$

Subtract 19 from 190 to get 171.

$$\frac{171}{10}+19$$

Convert 19 to fraction \frac{190}{10}.

$$\frac{171}{10}+\frac{190}{10}$$

Since \frac{171}{10} and \frac{190}{10} have the same denominator, add them by adding their numerators.

$$\frac{171+190}{10}$$

Add 171 and 190 to get 361.

$$\frac{361}{10}$$

Factor

$$\frac{19 ^ {2}}{2 \cdot 5} = 36\frac{1}{10} = 36.1$$