Equivalent Fractions

Lesson 3-4

VocabularyEquivalent fractions are fractions that name the same amount.

24

= 48

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)

35

We can choose any number to multiply by. Let’s multiply by 2.

x 2x 2 =

610

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

If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor.

2835

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

÷ 7= 4

528/35 is equivalent to 4/5.

Fractions in Simplest FormFractions 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:

45

211

38

Writing Fractions in Simplest Form.• Find the greatest common factor (GCF) of

the numerator and denominator.

• Divide both numbers by the GCF.

Example:

2028

201 x 20

2 x 10

4 x 5

281 x 28

2 x 14

4 x 7

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

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

Common Factors: 1, 2, 4

GCF: 4

We will divide by 4.

÷ 4÷ 4

= 57

Simplest Form

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