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# Multiplying and Dividing Fractions

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on 10 February 2014

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#### Transcript of Multiplying and Dividing Fractions

Multiplying and Dividing Fractions
Multiplying Fractions
Multiplying fractions is very simple. All you have to do is multiply the numerators and multiply the denominators and then you simplify your answer.

denominator: the bottom number of a fraction

numerator: the top number of a fraction
Multiplying Fractions
I know in my explanation it was hard to understand so lets break it up into pieces.
step 1: multiply the numerators.

example: 4/5 X 6/9 so you multiply 4 and 6 and you get 24 as your new numerator.
Multiplying Fractions
Step 2: Multiply the denominators.
Example: 2/4 X 6/7
You multiply 4 and 7 because they are your denominators. So your new product which is 28 will be your new denominator.
Multiplying Fractions
Step 3: After multiplying the numerator and denominators, put your answers into a new fraction [which will be your answer] then simplify or reduce if needed.
Example: 3/4 X 6/9 = 18/36
I can reduce/simplify this by dividing by 18
18 divided by 18=1 and 36 divided by 18=2 so my answer is 1/2
Multiplying Fractions
To multiply mixed numbers you change the mixed number into a improper fraction then just multiply the improper fraction how you would multiply a normal fraction
Dividing Fractions
When dividing fractions you use the rule keep change flip [kcf] . what you do is you leave the first fraction as it is the you change the division sign into a multiplication sign the you change the last fraction into its reciprocal.

example: 1/2 divided by 2/3
you leave 1/2 half as it is then
then you change the division sign into a multiplication sign likes so
1/2 X 2/3
Last but not least you change 2/3 into its reciprocal then you multiply
1/2 X 3/2= 3/4
example: 1 and 1/2 times 2 and 1/2
you change them into improper fractions by multiplying then denominator and the whole number then you add the numerator.
So you would change 1 and 1/2 into 3/2 and 2 and 1/2 becomes 5/2.
Then you just multiply the two and get 15/4 which equals 4 and 1/4.
Dividing Fractions
I know that is really confusing to hear for the first time so lets break it down
Step 1: Set up the problem and in the keep change flip form (kcf)

Example: 2/3 divided by 6/9
leave the 2/3 as it is
then you change the division sign into a multiplication sign
2/3 X 6/9
then you change 6/9 into its reciprocal [the reciprocal is when you just switch the denominator and numerator
so you equation turn out like this
2/3 X 9/6
By: Megan Marvin
Dividing Fractions
Step 2: Multiply the 2 fractions after doing keep change flip

Example: 6/4 divided by 9/10
then just do kcf and multiply like so
6/4 X 10/9 = 60/36
Dividing Fractions
Step three: Come up with your
answer then simplify if needed

example: 5/7 divided by 6/8
5/7 X 8/6= 40/48
you can simplify by dividing by 8
40 divided by 8 equals 5 and 48 divided by 8 equals 6 so your new answer is 5/6.
Dividing Fractions
When dividing mixed number you change the mixed number into a improper fraction and the just divide fractions how you would normally.
example: 4 and 1/2 divided by 3 and 5/6
then you change and 1/2 into 9/2 and you change 3 and 5/6 into 23/6. Then you just use the kfc rule and find you answer.

Optional Practice.
1. 2/3 divided by 4/5
2. 1 and 5/6 divided by 9 and 3/4
3. 9/3 divided by 2/9
4. 7/8 divided 1/2
5. 7 and 4/5 divided by 9 and 9/10
6. 2/3 X 4/5
7. 9/12 X 6/9
8. 2/2 X 3/3
9. 7/44 X 8/33
10. 33/44 X 55/66