Find each product or quotient where possible. -10/17 / (-12/5)

Question

Accepted Answer

Hey everyone here we are asked to perform division on the given expression where we have negative 12 19th divided by negative 27 25th. Now our first step here is to take the reciprocal of our fraction in the denominator and then multiply it by the fraction in our numerator. So looking at our denominator here we have the for fraction negative 27 25th. And to find the reciprocal of this fraction we just swap the value in the numerator with the value in the denominator. So we have negative 25 27th. And now with this reciprocal we can rewrite our original expression as negative 12 19 times this reciprocal here which again is now negative 25 27. So now from here all we need to do is multiply the values in the enumerators together and then multiply the denominators together. So beginning with our numerator here we just have negative 12 times negative 25. And then in the denominator we have 19 times 27. And so now we just have to simplify this fraction here by multiplying the terms together. So again in the numerator we have two negative terms. Well the product of two negative imagers gives us a positive image er so negative 12 times negative 25 gives us positive 300. And then looking at our denominator we just have 19 times which are both both positive imagers. So the The product is also positive and gives us a denominator of 513. So now our last step here is to identify our greatest common factor. So we can reduce this resulting fraction that we have. So here we have a greatest common factor of three which means we need to divide the numerator and the denominator both by three. So in the numerator we have three hun. Which again we divide by our greatest common factor which is three. And then in the denominator repeating this process we have 513 also divided by three. And now simplifying this fraction. Here we get our final simplified expression of 100 divided by 171. And with this simplified fraction here we are left with answer choice. C. 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. -10/17 / (-12/5)

Key Concepts

Division of Fractions

Multiplication of Fractions

Simplifying Fractions

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