FRACTIONS IN SIMPLEST FORM By: LaTonya Johnson

Objectives:: Students will identify fractions in simplest form and find the simplest form of a fraction Students will learn and use correct academic vocabulary Students will think, pair, and share to explain how to solve problems

Students must know multiplication facts

Vocabulary: Factors numbers you can multiply together to get another number (Example: 4 and 2 are factors of 8, because 4×2= 8. )

Simplest Form When the only common factor of the numerator and denominator is 1, the fraction is in simplest form, or it is reduced to lowest terms.(Other terms that means simplest form are lowest form or reduced terms)

Greatest Common Factor the largest number that divides evenly into all of the numbers 12 = 1, 2, 3, 4, 6, 12 16 = 1, 2, 3, 4, 8, 16 GCF = 4

How to simplify a fraction Find the greatest common factor of the numerator and the denominator and divide both by that number.

Simplify 3 ÷3 = 1 9 ÷3 3 First write your factors of 3 3- 1, 3 3 ÷3 = 1 9 ÷3 3 First write your factors of 3 3- 1, 3 Then write your factors of 9 9- 1, 3, 9 GCF= 3 Then divide your numerator and denominator by 3

Simplify 10 ÷ 5 = 2 15 ÷ 5 = 3 First write your factors of 10 1,2,5,10 Then write your factors of 15 1,3,5,15 GCF= 5 Then divide your numerator and denominator by 5

Simplify 18 ÷ 6 = 3 24 ÷ 6 = 4 First write your factors of 18 1, 2, 3, 6, 9, 18 Then write your factors of 24 1, 2, 3, 4, 6, 8, 12, 24 GCF= 6 Then divide your numerator and denominator by 6

Now try the next one on your own. Remember the steps: 1 Now try the next one on your own. Remember the steps: 1. Write the factors for the numerator and denominator 2. Find the GCF 3. Divide the GCF by the numerator and denominator 8 32

Let’s see how well you did 8 ÷ 8 = 1 32 ÷ 8 = 4 Write the factors of 8 1, 2, 4, 8 Write factors of 32 1, 2, 4, 8, 16, 32 GCF= 8 Then divide your numerator and denominator by 8

Great, now let’s try another one 15 ÷ 5 =3 35 ÷ 5 =7 Try and remember the steps Write the factors of 15 1, 3, 5, 15 Write factors of 35 1, 5, 7, 35 GCF= 5 Then divide your numerator and denominator by 5

Think, Pair and Share Now try and solve it on your own Find a partner and take turns showing each other how you arrived at your answer Then sit quietly and wait for the teacher to call you so that you and your partner can explain how you solved your problem.

Group 1: 18 36 Group 2: 16 20 Group 3: 15 36 Group 4: 4 12 Group 5: 8 30 Group 6: 12 84

Student Debrief: How do you know your answer is correct Student Debrief: How do you know your answer is correct? How do you know your answer is in simplest form? What is the most challenging step of reducing fractions to simplest form? Why? How does knowing your multiplication facts help you reduce fractions to simplest form? Exit Slips