Find each product or quotient where possible. See Example 2. (...

Question

Find each product or quotient where possible. See Example 2. (12⁄13)/( -4⁄3)

Accepted Answer

Hey, everyone. Here we are asked to perform division if possible. In the given expression, 24 divided by five divided by negative eight, divided by seven. Here we have four answer choice options, answer choice. A 192 divided by 35. Answer B negative 192 divided by 35. Answer C negative five divided by and answer D negative 21 divided by five. So our first step in dividing our given fractions is to recall that when you divide by a fraction, it is the same as multiplying by its reciprocal. So we can rewrite our division as multiplication where we now have 24 divided by five, multiplied by negative seven, divided by eight. And now we can start simplifying by first noticing we have 24 in the numerator of our first fraction. And we also have eight in the denominator of our second fraction. So 24 reduces and becomes three. And the denominator of eight simplifies and becomes one. So now we can just start multiplying across. So in the numerator, we have three multiplied by negative seven. And in the denominator, we have five multiplied by one. And so now just simplifying three multiplied by negative seven, gives us a negative 21. And then in the denominator five multiplied by one is just five. And with this, we see we cannot reduce our fraction any further. So this is our final answer which leaves us with answer choice D where again, our reduced form is negative 21 divided by five. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find each product or quotient where possible. See Example 2. (12⁄13)/( -4⁄3)

Key Concepts

Multiplication and Division of Fractions

Reciprocal of a Fraction

Simplifying Fractions

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