Question

Divide the sum of 5/9 and -3/7 by the additive inverse of -11/9*-4/7

Answer 1

Answer:

$\frac{ - 2}{11}$

Step-by-step explanation:

First we will find the additive inverse of (-11/9) × (-4/7).

$\frac{ - 11}{9} \times \frac{ - 4}{7} \\ = \frac{44}{63}$

The additive inverse of 44/63 is (-44/63).

Now we will find the sum of 5/9 and (-3/7).

$\frac{5}{9} + (\frac{ - 3}{7} ) \\ = \frac{35 + ( - 27)}{63} \\ = \frac{8}{63}$

Now we will divide 8/63 by (-44/63).

$\frac{8}{63} \div \frac{ - 44}{63} \\ = \frac{8}{63} \times \frac{63}{ - 44} \\ = \frac{8}{ - 44} \\ = \frac{2}{ - 11} = \frac{ - 2}{11}$

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