Question

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Answer 1

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

$- \frac{10}{19} \div ( - \frac{5}{7} )$

We multiply by the reciprocal of the second fraction:

$- \frac{10}{19} \times ( - \frac{7}{5} )$

We cancel out the common factors to obtain:

$- \frac{2}{19} \times ( - \frac{7}{1} )$

We multiply to get

$\frac{ - 2 \times - 7}{19 \times 1}$

This simplifies to :

$\frac{14}{19}$

The correct answer is C

Answer 2

Hello!

The answer is:

Option C.

$\frac{14}{19}$

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:

$\frac{\frac{a}{b} }{\frac{c}{d} }=\frac{a}{b}*\frac{d}{c}$

So, we are given the following expression:

$-\frac{10}{19}\div (-\frac{5}{7})$

Which is equal to:

$\frac{-10}{19}\div (\frac{-5}{7})$

Then, calculating we have:

$\frac{-10}{19}\div (\frac{-5}{7})=\frac{10}{19}*\frac{7}{5}\\\\\frac{10}{19}*\frac{7}{5}=\frac{10*7}{19*5}=\frac{70}{95}\\\\\frac{70}{95}=\frac{5*14}{5*19}=\frac{14}{19}$

Hence, we have that the correct option is:

Option C.

$\frac{14}{19}$

Have a nice day!