Find each product or quotient where possible.

Question

\frac{\frac{7}{6}}{- \frac{2}{3}}

Accepted Answer

hey everyone here we are asked to perform division on the given expression where we have 37 6 divided by negative 4/9. Now our first step here is to take this fraction which is in the denominator take it's reciprocal and multiply it by the fraction in our numerator. So beginning with finding our risk reciprocal, well negative 4/9. All we have to do is swap the numerator with the denominator. So our reciprocal becomes negative 9/4. So now we can use this to rewrite our original expression as 37 6 times negative 9/4. So now from here we just have to multiply the terms in the numerator together and then multiply the terms in the denominator together. So doing this beginning with our numerator we have times negative nine which is divided by our denominator here which is six times four. So now we just need to multi apply these terms together. And beginning in our numerator here we have a positive term times a negative term which will always give us a negative term. So 37 times negative nine gives us negative 333. And in the denominator we have six times four which just simplifies to 24. So now our last step here is to simplify this resulting fraction by dividing both the numerator and the denominators by the greatest common factor. So in this case our greatest common factor is going to be three. So that means we take the numerator which is -333. And we need to divide it by three. And then for our denominator we again have 24 which we also need to divide by three. So now simplifying here, our numerator becomes negative 111 and our denominator simplifies to eight. So now this is our final reduced fraction of negative 111 eights, which is our final answer here for Choice B. 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. $\frac{\frac{7}{6}}{- \frac{2}{3}}$

Key Concepts

Dividing Fractions

Multiplying Fractions

Simplifying Negative Fractions

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