Simplifying Fractions

Simplifying Fractions

When finding the smallest fraction, divide by a common factor.

• Both the numerator and denominator must be divided by the same number

• Example 4/10 both 4 and 10 have a common factor of 2 so divide both numbers by 2

• 4 divided by 2 is 2 and 10 divided by 2 is 5

• Since 2 and 5 are both prime numbers. The fraction 2/5 is in simplest form

Tips

• First look to see if both numbers are even. If they are you know you can divide by 2.

• Use your divisibility rules to help you find factors

• Do both the numbers end in zero? Divide by 10 instead of 2.

• The larger the factor you divide by, the less times you will need to divide.

Multiple Choice

What number can you divide both the numerator and denominator by if your fraction is 10/15?

• 2

• 3

• 5

• 10

Multiple Select

Which numbers could you use to simplify 20/30? (Choose all that would simplify the fraction.)

• 2

• 5

• 10

• 15

Multiple Choice

What is the greatest common factor of 12 and 18?

• 2

• 3

• 6

• 9

Multiple Choice

What is the simplest form of 12/18?

• 6/9

• 4/6

• 2/3

• 12/18