## anonymous 5 years ago Can someone explain the Cancellation process when multiplying fractions? Example: 23 3/4 x 95

1. amistre64

the cancellation process , if I understand you correctly, is simply the fact that a number divided by itself is equal to 1, and any number then multiplied by 1 is equal to itself.

$23+ 3/4 =95/4$ converting 23 3/4 to an improper fraction Did you understand the conversion of a mixed number to the improper fraction?

3. amistre64

take for example: 4 (5) ---- :5/5 = 1 5 (3) whats left is actually (4/3) times 1 = (4/3)

In your example there is no "cancellation" simply multiply the numerator . Then multiply the denominator

Lets say you had this fraction (4 x 2 x 3)/9 Cancelling is operating on a fraction without changing it value. Whatever you do to the bottom you must do to the top. In this case you can divide top and bottom by 3 getting (4 x 2)/3 This commonly called cancelling.

6. anonymous

Okay I converted 95 into an improper fraction and got 95/1

7. anonymous

no my quation is 23 3/4 x 95/1

8. anonymous

now my equation is 23 3/4 x 95/1, am sorry disregard that last message

95/4 x 95/1=9025/4

Are you saying you are not multiply the 23 3/4 ????

Twenty three and 3/4 is equivalent to 95/4

12. anonymous

Yes I am trying to figure out whats the process, In my book it shows me how to do it but dont explain how to do it!!!

13. anonymous

This is what it say in the book: 23 3/4 x 95 solution: 95/1 x 3/4 = 285/4 = 71 1/4 95 x 23 = 2185 2185 + 71 3/4= 2256 1/4 2256 1/4 is the answer, but I need someone to explain this and break it don for me!!!

O.K

The book decided rather than convert 23 3/4 to a improper fraction they would do to separate actions and then combine. First they took the fractional part, the 3/4 and multiplied it by 95.$3/4\times95=(3\times95)/4$ that valued is 285/4 was then converted to a mixed number and is obtained by dividing by 4 then placing the remainder was a 1 In other words 285/4 = 71 with 1 remaihder which is divided by 4 and placed as a fraction 1/4. Do you understand thus far?

16. anonymous

yes

They then multiplied the 23 by 95 getting 2185. Now they add the two products that they got: 71 1/4 +2185. They simply added the whole numbert parts getting 2256 then adding the fraction 1/4 for the total of 2256 1/4.

Now the answer I obtained earlier shown up above was 9025/4 If you divide the 4 into 9025 you get 2256 with a remainder of 1 or 1/4 Which is the same.

This was not a good example and I did not see any accomplished.