Solve 17/7:(-191919/919191)-(-1919/9191)=

$$\frac { 17 } { 7 } : ( - \frac { 191919 } { 919191 } ) - ( - \frac { 1919 } { 9191 } ) =$$

Evaluate

$$-\frac{19750}{1729}\approx -11.422787739$$

Solution Steps

Reduce the fraction \frac{191919}{919191} to lowest terms by extracting and canceling out 10101.

$$\frac{\frac{17}{7}}{-\frac{19}{91}}-\left(-\frac{1919}{9191}\right)$$

Divide \frac{17}{7} by -\frac{19}{91} by multiplying \frac{17}{7} by the reciprocal of -\frac{19}{91}.

$$\frac{17}{7}\left(-\frac{91}{19}\right)-\left(-\frac{1919}{9191}\right)$$

Multiply \frac{17}{7} times -\frac{91}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\left(-91\right)}{7\times 19}-\left(-\frac{1919}{9191}\right)$$

Do the multiplications in the fraction \frac{17\left(-91\right)}{7\times 19}.

$$\frac{-1547}{133}-\left(-\frac{1919}{9191}\right)$$

Reduce the fraction \frac{-1547}{133} to lowest terms by extracting and canceling out 7.

$$-\frac{221}{19}-\left(-\frac{1919}{9191}\right)$$

Reduce the fraction \frac{1919}{9191} to lowest terms by extracting and canceling out 101.

$$-\frac{221}{19}-\left(-\frac{19}{91}\right)$$

The opposite of -\frac{19}{91} is \frac{19}{91}.

$$-\frac{221}{19}+\frac{19}{91}$$

Least common multiple of 19 and 91 is 1729. Convert -\frac{221}{19} and \frac{19}{91} to fractions with denominator 1729.

$$-\frac{20111}{1729}+\frac{361}{1729}$$

Since -\frac{20111}{1729} and \frac{361}{1729} have the same denominator, add them by adding their numerators.

$$\frac{-20111+361}{1729}$$

Add -20111 and 361 to get -19750.

$$-\frac{19750}{1729}$$

Factor

$$-\frac{19750}{1729} = -11\frac{731}{1729} = -11.422787738577211$$