+0

# Dividing Whole Numbers By Fractions....!!!!

+9
514
7
+80922

The division of whole numbers by fractions seems to be confusing to many people - even to some forum members!!! And I can see why.......

Yesterday....we had this problem.......

48 divided by -6/7

We are taught the "order of operations" thing, so it seems "logical" to apply it here.....that is....

Evaluate 48/-6, first = -8

Then, divide this result by 7 = -1.1428571428571429

-----------------------------------------------------------------------------------------------------

To keep from making this mistake, remember to "convert" the "48" to (48/1) so that we have....

(48/1) /(-6/7)      ...and now apply the "KEEP" "CHANGE" "FLIP" rule.....

"KEEP" the first fraction.... (48/1)

"CHANGE" the division to multiplication

"FLIP"  the second fraction (-6/7) → (7/-6)

So we have.....

(48/1) * (7/-6)  =

(48/-6) * (7/1) =

-8 * 7 =

-56

Notice how, in the second step, I "exchanged" denominators......we can often do this in the multiplication of fractions in order to make the "cancelling" easier. Note...this will NOT  work with the addition, subtraction or division of fractions!!! Be careful!!!!

---------------------------------------------------------------------------------------------------

As one final word....note that when we divide a whole number by something that has an absolute value greater than 0, but less than 1, that we have to end up with a result that has an absolute value greater than the absolute value of the whole number itself!!!

Hope this helps !!!!

--------------------------------------------------------------------------------------------------

As an edit...also remember that dividing things having the same signs results in a positive, while dividing things with different signs results in a negative....just like the rules for multiplication!!!

CPhill  Aug 3, 2014

### Best Answer

#4
+3450
+8

Great explanation CPhill. Thanks for clearing that up for everyone.

I'm going to go ahead and add this post to the "Reference Material" thread. I think this post should fit well there!

NinjaDevo  Aug 4, 2014
Sort:

### 7+0 Answers

#1
+11757
+3

Thanks for that CPhill!its really helps..................that question was getting confusing slowly and slowly yntil i found the mystery..........................poor Zegroes wasnt interested in the Treasure Hunt and just ran away .................and even lost the match!!!

i know i know .......you are reallly sad after losing the game Zegroes.....

but dont be sad like this,...................................................................that problem was not a big deal!

rosala  Aug 3, 2014
#2
+4145
+3

Treasure hunt?

zegroes  Aug 3, 2014
#3
+11757
+8

OOps sorry!i should have said Answer Hunt!

But treasure or answer , not much difference though!

But whatever it is , i just know (u too know) , that u lost it!

rosala  Aug 3, 2014
#4
+3450
+8
Best Answer

Great explanation CPhill. Thanks for clearing that up for everyone.

I'm going to go ahead and add this post to the "Reference Material" thread. I think this post should fit well there!

NinjaDevo  Aug 4, 2014
#5
+80922
+3

Thanks, ND !!!

CPhill  Aug 4, 2014
#6
+91436
+3

Thanks Ninja, I was thinking the same thing!

Thanks Rosala, I thought that your "Treasure hunt = Answer hunt" analagy was quite clever so I gave you (and Chris and Ninja) thumbs up.

I think that Chris should give himself thumbs up too

Melody  Aug 4, 2014
#7
+11757
+3

Thank you Melody for the thumbs up!

btw Tresure Hunt is really fun!

rosala  Aug 4, 2014

### 24 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details