Multiplying and Dividing Fractions with actions, and steps. Gives examples and action in the ppt!

1. By: Andrea Bonde
MULTIPLY & DIVIDE
FRACTIONS

2. Vocabulary
Improper Fraction: When the numerator is larger
than the denominator.
Proper Fraction: When a fraction has been
simplified and reduced fully.
Reduce: To divide the top and
bottom number of a
fraction by the same
number.
Simplify: To make an improper
fraction proper.

3. Steps for x Fractions
1.
You cannot reduce side to side!
2. Multiply straight across.
3. Divide if top number is bigger.

4. - What’s the first step for
multiplying fractions?
REDUCE IF YOU CAN
- Remember, when we reduce, we
look for multiples of 2, 3, 4, 5, 6,
9, and 10.

5. -What are the multiples of 2?
2 , 4 , 6, 8, 10, 12, 14
-What are the multiples of 3?
3 , 6 , 9, 12, 15, 18 , 21
-What are the multiples of 4?
4 , 8 , 12 , 16, 20, 24, 28

6. -What are the multiples of 5?
5, 10 , 15 , 20, 25, 30 , 35
-What are the multiples of 6?
6 , 12, 18, 24, 30, 36, 42
-What are the multiples of 9?
9 , 18, 27, 36, 45, 54 , 63

7. -What are the multiples of 10?
10 , 20, 30, 40, 50, 60 , 70
- Now that we have reviewed
multiples, what’s the first step for
multiplying fractions?
REDUCE IF YOU CAN

8. Look at the arrows below in Step 1!
Do the arrows point up and down?
YES
Do the arrows point criss-cross?
YES
Do the arrows point side to side?
NO

9. Look at the arrows below in Step 1!
The arrows show us in which way we can
reduce!
Again, the arrows show us which way we
can reduce!
What do the arrows show us?
Which way to reduce!

10. 𝟒
𝟓
𝒙
𝟏𝟗
𝟐𝟎
WRITE DOWN THIS FRACTION!
First Step: Reduce if you can.
Can I reduce 4 and 5?
NO
Can I reduce 19 and 20?
NO
If I look up and down at 4&5 then 19&20, I see that none
of the rules of multiples apply to the numbers.
Why can’t I reduce up and down?

11. 𝟒
𝟓
𝒙
𝟏𝟗
𝟐𝟎
WRITE DOWN THIS FRACTION!
First Step: Reduce if you can.
Can I reduce 4 and 20?
YES, Watch
Help me reduce the fractions in the next
problem!
5
1

12. 𝟑
𝟏𝟎
𝒙
𝟐
𝟗
WRITE DOWN THIS FRACTION!
First Step: Reduce if you can.
Can I reduce 3 and 10?
NO
Can I reduce 2 and 9?
NO
If I look up and down at 3&10 then 2&9, I see that none
of the rules of multiples apply to the numbers.
Why can’t I reduce up and down?

13. 𝟑
𝟏𝟎
𝒙
𝟐
𝟗
WRITE DOWN THIS FRACTION!
First Step: Reduce if you can.
Can I reduce 3 and 9?
YES, Watch
Can I reduce 2 and 10?
YES, Watch
3
1 1
5

14. 𝟒
𝟓
𝒙
𝟏𝟗
𝟐𝟎
Continue working on the fraction!
What is my next step?
Multiply straight across!
Is my top number bigger than my bottom?
NO
5
1
=
𝟏𝟗
𝟐𝟓

15. 𝟑
𝟏𝟎
𝒙
𝟐
𝟗
Continue working on the fraction!
What is my next step?
Multiply straight across!
Is my top number bigger than my bottom?
NO
3
1 1
5
=
𝟏
𝟏𝟓

16. Steps for ÷Fractions
1. Flip the second fraction – Change sign
2.
You cannot reduce side to side.
3. Multiply straight across.
4. Divide if the top number is bigger.

17. 𝟏
𝟐
÷
𝟒
𝟔
WRITE DOWN THIS FRACTION!
First Step: Flip the second fraction and
change the sign!
Can I reduce 1 and 2?
NO
Can I reduce 6 and 4?
Yes, Watch
=
𝟏
𝟐
𝒙
𝟔
𝟒 2
3

18. 𝟏
𝟐
÷
𝟒
𝟔
WRITE DOWN THIS FRACTION!
3rd Step: Multiply Straight Across!
Is the top number bigger?
NO
Can we Reduce?
NO
Can we Simplify?
NO
=
𝟏
𝟐
𝒙
𝟔
𝟒 2
3
=
𝟑
𝟒

19. 𝟏
𝟒
÷
𝟒
𝟖
WRITE DOWN THIS FRACTION!
First Step: Flip the second fraction and
change the sign!
Can I reduce 1 and 4?
NO
Can I reduce 8 and 4?
Yes, Watch
=
𝟏
𝟒
𝒙
𝟖
𝟒 1
2
Can I reduce 4 and 2?
Yes, Watch
1
2

20. 𝟏
𝟒
÷
𝟒
𝟖
WRITE DOWN THIS FRACTION!
3rd Step: Multiply Straight Across!
Is the top number bigger?
NO
Can we Reduce?
NO
Can we Simplify?
NO
=
𝟏
𝟒
𝒙
𝟖
𝟒
2
1
=
𝟏
𝟐2
1