Transcript Simplest Form - Teacher Pages

Simplest Form
By Mr. Bales
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.
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.
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.
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?
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.
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
Example
 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.
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 24 ÷2 12
9= 9÷ 3=3
12 12 ÷ 3 = 4
A common factor of 18
and 24 is 2.
A common factor of 9
and 12 is 3.
Real World Example!!
Now a Game!!!
Bales Bucks!!
Assignment
Page 524 - #’s 7 - 22
Get them all correct - No Math
Homework