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

Question

Find each product or quotient where possible. See Example 2. (-4⁄5) / (-3⁄5)

Accepted Answer

Hey, everyone here we are asked to perform division if possible. In the given expression, negative five divided by 71 divided by negative eight divided by 71. Here we have four answer choice options, answer choice. A 355 divided by eight. Answer B 40 divided by 5041. Answer C five divided by eight and answer D eight divided by five. So our first step in dividing our given fractions is to recall that when we divide by a fraction, it is the same as multiplying by its reciprocal. So rewriting our division expression as a multiplication expression, we have negative five divided by multiplied by 71 divided by negative eight. And now that we are just multiplying our fractions, we can simply combine our numerators and denominators by multiplying both terms. So in the numerator, we have negative five multiplied by 71. And in the denominator, we have negative eight multiplied by 71. And so now our next step is to just start simplifying. So we see in the numerator and the denominator we have 71. So both of the values will cancel and become one. And so we are left with negative five divided by negative eight. And now since we have a negative in the numerator and in the denominator, the negative signs will cancel. And so we are just left with five divided by eight and there are no further simplifications that we can make. So this is our final answer which leaves us with answer choice C five divided by eight. 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. (-4⁄5) / (-3⁄5)

Key Concepts

Multiplication of Fractions

Sign Rules for Multiplication

Simplifying Fractions

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