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

-10...

Question

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

-10⁄17 ÷ ( -12⁄5 )

Accepted Answer

Hey, everyone here we are asked to perform division if possible. In the given expression, negative 25 divided by 19 divided by negative 15, divided by 19. Here we have four answer choice options, answer choice. A 125 divided by 57. Answer B 57 divided by 125. Answer C three divided by five and answer D five divided by three. So our first step in solving this expression is to recall that when we divide by a fraction, it is equivalent to multiplying by its reciprocal. So rewriting this expression, we have negative 25 divided by 19 multiplied by the reciprocal of our second fraction which is now 19 divided by negative 15. And so now we can start simplifying both of our fractions by combining their numerators and denominators by multiplying all of the values. So in the numerator, we now have negative 25 multiplied by 19. And in the denominator, we have negative 15 multiplied by 19. And now we see we have 19, both in the numerator and in the denominator. So both of the values will cancel. And so so far we are left with negative divided by negative 15. And now we can notice that in the numerator and the denominator, both of the values share the value or the factor of negative five. So we can factor negative five from both the numerator and the denominator. So we have negative five multiplied by five in the numerator. And then in the denominator, we have negative five multiplied by three. And now, since we have negative five in both the numerator and in the denominator, both of the values will cancel. And so we are left with our final simplified fraction five divided by three. And with this simplified answer, we are left with answer choice D where again, we have five divided by three. 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. -10⁄17 ÷ ( -12⁄5 )

Key Concepts

Division of Fractions

Negative Numbers in Fractions

Simplifying Fractions

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