Mixed Numbers

1
Mixed Numbers

• Students will be able to identify mixed numbers
  and improper fractions. Students will be able to
  change mixed numbers to improper fractions and
  vice versa.

2
Daily Practice

• Divide
• 1) 98 2
• 2) 288/24
• 3) 48/16
• Remember top number goes inside!

3
Simplifying Fractions

• A fraction is in simplest form if the GCF of the
  NUMERATOR and DENOMINATOR is 1!

4
Simplifying Fractions

• 1) Complete a factor tree or make a list of
  factors for the numerator and denominator!
• 2) Find the GCF!
• 3)Divide the numerator and denominator by the GCF!

5
Improper Fractions

• In most cases the numerator is smaller than the
  denominator.
• However, in some fractions the numerator is
  actually larger than the denominator.
• These fractions are called improper fractions.
• Answers should never be in improper form.

6
Mixed Numbers

• Since answers should never be improper we must
  discuss how to change improper fractions to a
  mixed number.
• A mixed number is a mixture of whole numbers and
  fractions.

7
Examples

• An example of an improper fraction would be 15/2.
• An example of a mixed number would be 2 1/2

8
Changing Forms

• Some problems require improper fractions in order
  to solve, but your answer cannot be improper.

9
Mixed to Improper

• To change a mixed number to an improper fraction
  is as simple as multiplying and adding.
• Multiply the whole number and the denominator
  together, and add the numerator to that product.
• Your answer is now your new numerator and your
  denominator remains the same.

10
Mixed to Improper
2
1
_
2
11
Improper to Mixed

• To change improper fractions to mixed numbers
  requires division.
• Your quotient becomes the whole number, while
  your remainder becomes the new numerator, and
  your denominator remains the same.

12
Improper to Mixed
9
_
5
13
Practice Problems

• DUE BEFORE YOU LEAVE! WHEN YOU FINISH WORK ON
  A.M.
• PAGE 165, 2-11