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### Fractions

A fraction is a part of a whole.

Pull out your fraction circles. Answer the following questions on your paper.

- What is represented by one piece of the:
- Purple

1 whole

- Blue

⅛

- Yellow

⅙

- Orange

½

- Green

⅓

- Pink

¼

Put all of your fraction circles away except for your blue pieces.

We are going to see what adding fractions looks like!

Add 3 blue pieces to 4 blue pieces.

What does the 8 as the denominator mean?

+

=

How much more do we need until we have one whole?

Look back into your bag of pieces. Can we replace the 4 blue pieces with a piece of a different color without changing the amount?

Now, add 1 blue piece to 3 blue pieces.+

=

+

You just simplified your answer!

Think of these as leftover pieces of pizza.. What is simpler to understand?

Now, add 1 blue piece to 3 blue pieces.+

=

+

Now get out 4 yellow pieces. Add them together.

What does the 6 as the denominator mean?

4/6

- 1/6 + 1/6 + 1/6 + 1/6 = ?

Use two pieces from your bag to replace these 4 pieces. What pieces do you find?

Two green, or 2/3

Simplest Form

What did we just find?

Put all of your fraction circles away except for your pinkpieces.

We are going to work as a group since we will need everyone’s yellow pieces.

Add 3 pinkpieces to 2 pinkpieces.

What does the 4 as the denominator mean?

=

+

How much more do we need until we have one whole?

1

+

=

Put all of your fraction circles away.

Today, we learned how to add fractions that:

1) Can be simplified

2) Have a sum of more than one

Tomorrow, we will learn how to add fractions that have different denominators.

If you finish early, get a sheet of paper and work on this ICEE problem.

Mark had a pizza party tonight. He wants to know how much pizza he has left in all. He has 3/8 peperoni pizza left, 5/8 mushroom pizza left, 7/8 pineapple pizza, 1 whole cheese pizza, and ½ a sausage pizza left. Write both a mixed number and an improper fraction to help Mark see how much pizza he has leftover.

Adding Fractions with DIFFERENT denominators

Can I add these pieces together?

1) Is 4 or 8 bigger?

2) Can 4 go into 8?

2) How many times?

x2

+

=

x2

Adding Fractions with DIFFERENT denominators

1) Is 3 or 4 bigger?

4, 8, 12, 16, 20, 24, 28, 32

2) Can 3 go into 4?

3) List the multiples of 4.

+

=

4) Can 3 go into any?

5) How many times can 3 go into 12?

Adding Fractions with DIFFERENT denominators6) How many times can 4 go into 12?

4, 8, 12, 16, 20, 24, 28, 32

7) Add numerators.

X4

X3

=

+

4

3

8) Can I simplify?

+

=

Adding Fractions with DIFFERENT denominators

1) Is 3 or 5 bigger?

5, 10, 15, 20, 25, 30, 35, 40

2) Can 3 go into 5?

3) List the multiples of 5.

+

=

4) Can 3 go into any?

5) How many times can 3 go into 15?

Adding Fractions with DIFFERENT denominators6) How many times can 5 go into 15?

5, 10, 15, 20, 25, 30, 35, 40

7) Add numerators.

X5

X3

=

+

5

3

8) Can I simplify?

10

6_

16

1

+

1

=

=

15

15

15

15

Rules for adding and subtracting fractions with unlike denominators.

1) Circle the biggest denominator.

2) Can the other denominator fit?

3) List the multiples of the biggest denominator.

4) Find the smallest multiple that the other denominator(s) can fit into.

5) Multiply both the numerator and denominator of all fractions to get a common denominator.

6) Add the numerators of the new fractions.

7) Simplify if you can.

Click the link to practice adding fractions!

http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsAddition.htm

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