Find each product or quotient where possible. -5/2 (-12/25)

Question

Accepted Answer

Hello everyone in this video we're going to be looking at this practice problem where we want to perform the multiplication negative seven divided by three times negative divided by 42. So in this case you can see that we're multiplying two negative fractions together. And because we have two negatives recall that multiplying two negatives together gives us a positive. So even though we don't know the exact answer yet we know that our answer needs to be positive. So in order to figure out the actual answer, I'm going to rewrite these fractions here. So I have seven divided by three and I'm going to go ahead and not write the negative signs because I've already determined that my answer needs to be positive. So I have seven divided by three times divided by 42. So in this case because I'm multiplying the fraction, I don't need to worry about finding a common denominator to combine the fractions, I just need to make sure to multiply the numerator is together and the denominators together. So if I do that, my numerator is now seven times Divided by my denominator, which is three times 42. And from this step here you can notice that we can simplify this fraction because three goes into 27 times. So this three can be simplified to one And seven goes into 42 6 times. So the seven can also be simplified to one. So my fraction would become one times nine Divided by one, Times six, which is nine divided by six. And you can see that both of these Have a factor of three. So if I take out three from nine, I get three, I take out three from six, I get to. So this can be simplified to 3/2. However, if you had not noticed this simplification earlier, you could have also multiplied These values together. Seven times 27 is 189 and three times 42 is 1 26. And as you simplified this fraction, you would also arrive at 3/2. So three house is our final answer for this multiplication and you can see that that aligns with answer choice D. So hopefully this video helped and see you next time.

Find each product or quotient where possible. -5/2 (-12/25)

Key Concepts

Multiplication of Fractions

Simplifying Fractions

Handling Negative Signs in Fractions

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