Equivalent Fractions

- Lesson 3-4

Vocabulary

Equivalent fractions are fractions that name the

same amount.

2

4

8

4

Creating Equivalent Fractions

- Multiply the numerator and denominator by the

same number. - Divide the numerator and denominator by the same

number (it has to be a common factor to work with

division)

We can choose any number to multiply by. Lets

multiply by 2.

3

x 2

6

So, 3/5 is equivalent to 6/10.

x 2

10

5

If you have larger numbers, you can make

equivalent fractions using division. Divide by a

common factor.

4

28

In this example, we can divide both numbers by 7.

7

5

7

35

28/35 is equivalent to 4/5.

Fractions in Simplest Form

Fractions are in simplest form when the numerator

and denominator do not have any common factors

besides 1.

Examples of fractions that are in simplest form

4

2

3

8

5

11

Writing Fractions in Simplest Form.

- Find the greatest common factor (GCF) of the

numerator and denominator. - Divide both numbers by the GCF.

Example

5

20

4

Simplest Form

7

4

28

20 1, 2, 4, 5, 10, 20

20

28

28 1, 2, 4, 7, 14, 28

1 x 20 2 x 10 4 x 5

1 x 28 2 x 14 4 x 7

Common Factors 1, 2, 4

GCF 4

We will divide by 4.

Homework Time

Equivalent Fractions

- Lesson 3-4

Vocabulary

Equivalent fractions are fractions that name the

same amount.

2

4

8

4

Creating Equivalent Fractions

- Multiply the numerator and denominator by the

same number. - Divide the numerator and denominator by the same

number (it has to be a common factor to work with

division)

We can choose any number to multiply by. Lets

multiply by 2.

3

x 2

6

So, 3/5 is equivalent to 6/10.

x 2

10

5

If you have larger numbers, you can make

equivalent fractions using division. Divide by a

common factor.

4

28

In this example, we can divide both numbers by 7.

7

5

7

35

28/35 is equivalent to 4/5.

Fractions in Simplest Form

Fractions are in simplest form when the numerator

and denominator do not have any common factors

besides 1.

Examples of fractions that are in simplest form

4

2

3

8

5

11

Writing Fractions in Simplest Form.

- Find the greatest common factor (GCF) of the

numerator and denominator. - Divide both numbers by the GCF.

Example

5

20

4

Simplest Form

7

4

28

20 1, 2, 4, 5, 10, 20

20

28

28 1, 2, 4, 7, 14, 28

1 x 20 2 x 10 4 x 5

1 x 28 2 x 14 4 x 7

Common Factors 1, 2, 4

GCF 4

We will divide by 4.

Homework Time