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

Question

Find each product or quotient where possible. See Example 2. -3⁄8 ( -24⁄9 )

Accepted Answer

Hey, everyone here we are asked to perform multiplication in the given expression, negative 111 divided by multiplied by negative 29 divided by 37. Here we have four answer choice options, answer choice, A one answer B three answer C 29 and answer D 37. Now, before we begin multiplying our two given fractions, we want to start by reducing each fraction as much as possible. So looking at our first fraction, recalling, we have negative 111 divided by we can notice that in both the numerator and the denominator, both values share a common factor of three. So factoring three from the numerator and the denominator, we have three multiplied by negative 37 all divided by three multiplied by 29. And now looking at our second fraction, it is in its fully reduced form. So we are just multiplying by negative 29 divided by 37. And so now we can begin reducing our first fraction by seeing that we have three in both the numerator and the denominator. So both of the values will cancel. And now just rewriting, we have negative 37 divided by multiplied by negative 29 divided by 37. And now we can just start multiplying our numerators and denominators together. So we have negative 37 multiplied by negative 29 all divided by multiplied by 29. And now we can first notice that in the numerator, we have a negative multiplied by a negative. So both of the negatives will cancel and become positive. And now we can also notice that we have 37 in the numerator and 37 in the denominator. So both values will cancel and we also have 29 in the numerator and in the denominator. So both values here will cancel as well. And so simplifying, we are just left with positive one. And with this, we have answer choice a where our final simplified answer is just one. 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. -3⁄8 ( -24⁄9 )

Key Concepts

Multiplication of Fractions

Handling Negative Signs in Multiplication

Simplifying Fractions

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