Find each product or quotient where possible. 12/13 / -4/3

Question

Accepted Answer

Hey everyone here we are asked to perform division on the given expression where we have 24 23rd divided by negative 3/8. So our first step here is to take the reciprocal of the fraction in our denominator and then multiply it by the fraction in the numerator. So our fraction in the denominator here is negative 3/8 and the reciprocal all we have to do is swap the value in the numerator with the value in the denominator. So we get negative eight thirds and now we can use this reciprocal and rewrite our original expression as 24 23rd Times again the reciprocal which is negative 8/3. So now the next step is to just multiply the numerator is together and then multiply the denominators together. So in the numerator we have 24 times negative eight. And this is divided by the denominators where we have 23 times three. So now all we have to do is multiply these terms together. So in our numerator we have a positive times a negative which will always give us a negative term. So our 24 times negative eight gives us -192. And in the denominator we have 23 times three which just simplifies to 69. So now our last step here is to simplify this resulting fraction by dividing both the numerator and the denominator by the greatest common factor. Now in this case looking at the term in the numerator, we have 192. And in the denominator we have 69 and so the greatest common factor here Is just three. So now we can begin with the numerator we take negative 192 and divide it by our greatest common factor which is three. And then in the denominator we repeat this process so we take 69 and also divided by three. And now. So Simplifying this fraction. Here we end up with the reduced fraction of -64 divided by 23. And this is our final reduced fraction which is answer choice d. 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. 12/13 / -4/3

Key Concepts

Division of Fractions

Multiplication of Fractions

Simplifying Fractions

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