Solve -19/5-5/19*1.9

$$\frac{ -19 }{ 5 } - \frac{ 5 }{ 19 } \times 1.9$$

Evaluate

$$-4.3$$

Solution Steps

Fraction \frac{-19}{5} can be rewritten as -\frac{19}{5} by extracting the negative sign.

$$-\frac{19}{5}-\frac{5}{19}\times 1.9$$

Convert decimal number 1.9 to fraction \frac{19}{10}.

$$-\frac{19}{5}-\frac{5}{19}\times \frac{19}{10}$$

Multiply \frac{5}{19} times \frac{19}{10} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{19}{5}-\frac{5\times 19}{19\times 10}$$

Cancel out 19 in both numerator and denominator.

$$-\frac{19}{5}-\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{19}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{19}{5} and \frac{1}{2} to fractions with denominator 10.

$$-\frac{38}{10}-\frac{5}{10}$$

Since -\frac{38}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-38-5}{10}$$

Subtract 5 from -38 to get -43.

$$-\frac{43}{10}$$

Factor

$$-4.3$$