Fraction Action in Grade 4Converting Mixed

Numbers and Improper Fractions/Simplifying

Fractions

Vocabulary

- Numerator
- Denominator
- Proper Fraction
- Mixed Number
- Improper Fraction
- Simplify
- Factors
- Fractional Form of 1 Whole
- Equivalent Fractions (Equal)

The bottom number in a fraction is called the

_____________.

4 8

Remember It tells how many equal parts are in

EACH model.

Denominator

The top number in a fraction is called the

____________.

Numerator

6 9

Remember It tells the number we are counting.

(Usually the shaded, unshaded, or a specific

color.)

In , the numerator

is less than the denominator.

proper fractions

5 6

1 5

3 4

Notes

are represented when

a whole number and a proper fraction are

together.

Mixed numbers

3

6 9

Numerator Denominator

Whole

8 10

8

Notes

Improper fractions are represented when the

numerator is larger than the denominator.

27 3

Numerator Denominator

19 2

What is the mixed number?

3

3

4

What is the improper fraction?

15

4

What is the mixed number?

3

4

4

What is the mixed number?

1

5

2

What is the improper fraction?

19

4

What is the improper fraction?

11

2

How is the mixed number below related to the

improper fraction?

1

5

2

11

2

Remember....In mixed numbers, a whole number and

a proper fraction are together. What mixed

numbers are represented on this number line?

0

1

2

3

0

1

2

3

4

5

6

7

Change this mixed number to an improper fraction.

3

24

- Multiply the whole number times the denominator.
- Add your answer to the numerator.
- Put your new number
- over the denominator.

3

x

7

7

Change this mixed number to an improper fraction.

1

33

- Multiply the whole number times the denominator.
- Add your answer to the numerator.
- Put your new number
- over the denominator.

4

x

8

8

Change this improper fraction to a mixed number.

2

r

2

8

)

3

8

3

6

2

- Divide the numerator by the denominator.
- Put the remainder over the denominator.

2

2

3

Change this improper fraction to a mixed number.

5

r

2

47

)

9

47

9

45

2

- Divide the numerator by the denominator.
- Put the remainder over the denominator.

2

5

9

1. What is the mixed number for

34 5

- 5 4/5
- 6 4/5
- 6 3/5
- 5 4/6

?

2. What is the mixed number for

14 4

- 3 1/4
- 4 1/4
- 3 1/3
- 3 2/4

?

3. What is the mixed number for

13 2

- 5 1/3
- 4 1/2
- 6 1/2
- 6 2/2

?

4. What is the improper fraction for

2 3

- 11/3
- 10/2
- 8/3
- 4/3

?

3

5. What is the improper fraction for

3 6

- 7/6
- 13/6
- 27/6
- 4/6

?

4

6. What is the improper fraction for

3 8

- 16/8
- 43/8
- 26/8
- 10/8

?

5

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

3 6

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

4 16

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

15 20

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

18 30

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

10 30

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

5 45

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

14 18

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.

Steps to Simplify Fractions

1. Find the GCF (Greatest Common Factor).

18 27

2. Make a fractional form of 1 using the GCF.

3. Divide the numerator and denominator by the

GCFs fractional form of 1.