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PSYCHO15rus [73]
3 years ago
6

^^^^^^^^^^^^^^^^^^^^

Mathematics
2 answers:
telo118 [61]3 years ago
7 0

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

VikaD [51]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

Option C.

\frac{14}{19}

<h2>Why?</h2>

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!

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