Question

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Answer 1

Hello!

The answer is:

Option C.

`(14)/(19)`

Why?

To perform fraction division, we need to follow the convert the expression and multiply the first fraction (numerator) by the inverse of the second fraction (denominator).

For example:

`((a)/(b) )/((c)/(d) )=(a)/(b)*(d)/(c)`

So, we are given the following expression:

`-(10)/(19)/ (-(5)/(7))`

Which is equal to:

`(-10)/(19)/ ((-5)/(7))`

Then, calculating we have:

`(-10)/(19)/ ((-5)/(7))=(10)/(19)*(7)/(5)\\\\(10)/(19)*(7)/(5)=(10*7)/(19*5)=(70)/(95)\\\\(70)/(95)=(5*14)/(5*19)=(14)/(19)`

Hence, we have that the correct option is:

Option C.

`(14)/(19)`

Have a nice day!

Answer 2

The correct answer is C

Step-by-step explanation

We want to find the quotient:

`- (10)/(19) / ( - (5)/(7) )`

We multiply by the reciprocal of the second fraction:

`- (10)/(19) * ( - (7)/(5) )`

We cancel out the common factors to obtain:

`- (2)/(19) * ( - (7)/(1) )`

We multiply to get

`( - 2 * - 7)/(19 * 1)`

This simplifies to :

`(14)/(19)`

The correct answer is C