Solve -1-5(-13/19)

$$- 1 - 5 ( \frac { - 13 } { 19 } )$$

Evaluate

$$\frac{46}{19}\approx 2.421052632$$

Solution Steps

Fraction \frac{-13}{19} can be rewritten as -\frac{13}{19} by extracting the negative sign.

$$-1-5\left(-\frac{13}{19}\right)$$

Express 5\left(-\frac{13}{19}\right) as a single fraction.

$$-1-\frac{5\left(-13\right)}{19}$$

Multiply 5 and -13 to get -65.

$$-1-\frac{-65}{19}$$

Fraction \frac{-65}{19} can be rewritten as -\frac{65}{19} by extracting the negative sign.

$$-1-\left(-\frac{65}{19}\right)$$

The opposite of -\frac{65}{19} is \frac{65}{19}.

$$-1+\frac{65}{19}$$

Convert -1 to fraction -\frac{19}{19}.

$$-\frac{19}{19}+\frac{65}{19}$$

Since -\frac{19}{19} and \frac{65}{19} have the same denominator, add them by adding their numerators.

$$\frac{-19+65}{19}$$

Add -19 and 65 to get 46.

$$\frac{46}{19}$$

Factor

$$\frac{2 \cdot 23}{19} = 2\frac{8}{19} = 2.4210526315789473$$