Transcript Equivalent Fractions

Equivalent Fractions
Lesson 3-4
Vocabulary
Equivalent fractions are fractions that name the same
amount.
2
4
=
4
8
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. Let’s multiply by 2.
3 x2
6
=
10
5 x2
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.
28 ÷ 7 = 4
5
35 ÷ 7
In this example, we can
divide both numbers by 7.
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
5
2
11
3
8
Writing Fractions in Simplest
Form.
• Find the greatest common factor (GCF) of
the numerator and denominator.
• Divide both numbers by the GCF.
Example:
20 ÷ 4 =
28 ÷ 4
20
28
5
7
20: 1, 2, 4, 5, 10, 20
28: 1, 2, 4, 7, 14, 28
1 x 20
1 x 28
Common Factors: 1, 2, 4
2 x 10
2 x 14
GCF: 4
4x5
4x7
We will divide by 4.
Simplest
Form
Homework Time