Fractions in Lowest Terms

Greatest Common Factor

What is the Greatest Common Factor used for?

To simplify fractions (and algebra later in math.)

Multiple Choice

When do we use the Greatest Common Factor?

Check all that apply.

• Adding Fractions

• Simplifying

• Subtracting Fractions

• Multiplying Fractions

• Dividing Fractions

Open Ended

List the factors of 6

Open Ended

List the factors of 18.

Open Ended

What is the GCF of 6 and 18?

Multiple Choice

What is the GCF of 4 and 12?

• 3

• 6

• 4

• 1

Simplest Form Fractions

Simplest form means that the numerator and denominator are as small as possible, yet the value of the fraction is still the same (equal).

Simplest form

You will hear people describe simplest form 3 ways.

1. Simplest form

2. Lowest terms

3. Reduced fractions

All three of these terms mean the exact same thing...a fraction that has the smallest numerator and denominator possible.

Simplest Form

All of these fractions are equivalent, but 1/2 is the one that is in the most simplest form. Fractions in their simplest form are more practical in real life!

One way to find simplest form...

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Find the greatest common factor and divide.

Another way to find simplest form...

​

Keep dividing until the only thing you can divide by is 1.

There is nothing that will go into both 3 and 5, so the fraction cannot be divided any more. It is now in simplest form!

Multiple Choice

A fraction is in simplest form when the numerator and denominator

• are the same

• are both even

• are both odd

• have no common factor other than 1

Multiple Choice

To put a fraction in simplest form, you will need to do this to the numerator and denominator

• subtract by the same number

• divide by the same number

• add the same number to both

• multiply by the same number

Multiple Choice

Put the fraction in simplest form.

• 3/6

• 1/2

• 1/4

• 2/4

Multiple Choice

Which fraction represents the simplest form of: 

$$\frac{4}{14}=\ \frac{?}{?}$$  

• $$\frac{2}{7}$$  

• $$\frac{2}{8}$$  

• $$\frac{4}{7}$$  

• $$\frac{2}{14}$$  

Multiple Choice

   What is  $$\frac{12}{15}$$  in simplest form?

• $$\frac{3}{15}$$  

• $$\frac{4}{15}$$  

• $$\frac{3}{5}$$  

• $$\frac{4}{5}$$  

Multiple Choice

What is the simplest form of $$\frac{2}{6}$$  ?

• 2/6

• 2/3

• 1/3

• 4/12

Multiple Choice

What is  $$\frac{8}{12}$$  in simplest form? 

• 1/3

• 3/4

• 2/3

• 1/2

Multiple Choice

What is the simplest form of $$\frac{6}{8}$$  ?

• 3/4

• 1/2

• 1/3

• 1/4

Multiple Choice

Is 4/8 in simplest form?

• yes

• no

Multiple Choice

Is $$\frac{3}{8}$$  in simplest form?

• yes

• no