186k views
3 votes
Match each division expression to its quotient

Match each division expression to its quotient-example-1
User CLiFoS
by
4.7k points

1 Answer

1 vote


(122)/(10)*(-(10)/(61) )Let's start by calculating their values one by one, and then we can match them.

Starting with
-2(2)/(5) /(4)/(5), we can simplify this more by adding
2*5 to the nominator. That gives us
-(12)/(5) /(4)/(5). Now we can apply the Keep-Change-Flip rule. Keep the first fraction as it is, change the division sign into multiplication, flip the second fraction.
-(12)/(5) *(5)/(4). We apply fraction multiplication which is simply multiplying the first nominator by the first nominator and the same for the dominator. and the result is
-(60)/(20) or simply -3.


-2(2)/(5) /(4)/(5) = -3

Now, we calculate the second one,
-12.2/(-6.1). This can be re-written as
-(122)/(10)/(-(61)/(10) ). As we did in the previous part we apply the Keep-Change-Flip, this will give us
-(122)/(10)*(-(10)/(61) ). Do the multiplication and the result will be
(1220)/(610), we can divide both the nominator and dominator by 10 which will result
(122)/(61) and finally we know that
61*2=122 and we can divide both of them again by 61 which will result
(2)/(1) =2


-12.2/(-6.1)=2

You can try solving the rest by yourself but here's is the final answer for them both:


16/(-8)=-2\\3(3)/(7) /1(1)/(7) =3

User SJoshi
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.