1. Simplest Form

2. Objective
By the end of this lesson, you will be able to write a fraction in simplest form.
Standard 4NS1.5 - Students will explain different interpretations of fractions, for example, …..division of whole numbers by whole numbers; explain equivalence of fractions.

3. Introduce Some fractions are easer to understand than others.
What is 1/4 of a dollar?
What is 2/8 of a dollar?
These are actually the same amounts. It’s just that 1/4 is a lot easier to understand since its in simplest form.

4. You Try
On your desk you will find some money. You need 4 quarters and 10 dimes.
How much is 1/2 of a dollar?
How much is 5/10 of a dollar?
How much is 2/4 of a dollar?
These fractions ( 1/2, 5/10, and 2/4) are equivalent fractions.

5. Teach
There are 12 questions on a quiz. Andrew got 8 out of 12 or 8/12 of the questions correct.
What is 8/12 in simplest form?

6. Simplest Form
Simplest form is when the numerator and denominator have no common factor other than one.
In other words, no other factor than 1 can go into the numerator and denominator evenly.

7. Simplest Form vs. NOT Simplest Form
Fractions in Simplest Form
1/2
2/3
3/4
3/7
5/8
Fractions NOT in Simplest Form
2/4
4/6
8/10
8/12
16/24

8. Example Write 8/12 in simplest form. Step 1 - Find the common factors.
Important - To change a fraction into its simplest form, you can divide both the numerator and the denominator by the greatest common factor (the biggest number that goes into both.)
Write 8/12 in simplest form.
Step 1 - Find the common factors.
Factors of 8: 1, 2, 4, 8
Factors of 12: 1, 2, 3, 4, 6, 12
Common Factors: 1, 2, and 4
Step 2 - Divide the greatest common factor, 4.
8 ÷ 4 = 2
12 ÷ 4 = 3
The numbers 2 and 3 have no common factor other than 1.

9. Another Example
You can also change a fraction into simplest form by dividing by common factors (may not be the greatest factor)
Step 1 - Write a fraction. 18 24
Divide by common factors.
18 = 18 ÷ 2 = 9
24 ÷
9 = 9 ÷ 3 = 3
÷ 3 = 4
A common factor of 18
and 24 is 2.
A common factor of 9
and 12 is 3.

10. Real World Example!!
Now a Game!!!
Bales Bucks!!

11. Assignment
Page #’s
Get them all correct - No Math Homework