**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

simplify your answers

check answers with calculator

Reflection

I have known how to multiply and divide fractions for a long time. After awhile I tend to forget stuff so I decided to refresh my brain with the topic multiplying and dividing fractions. I also picked this topic because I had completely forgotten the rules and it was time for a review. This project has also helped me manage my time better because I had a big play this week and this meant I had to really stay on top of things.

Vocabulary

Fraction: A part of a whole number

numerator: the top number of a fraction

denominator: the bottom number of a fraction

simplify: When you reduce a fraction so it still equals the same.

Hope this helped!