Fractions

1
Fractions

• Simplifying, Adding, and Multiplying

2
Simplifying Fractions

• When simplifying fractions you must find the
  Greatest Common Factor or GCF
• Ex. 1-
• List factors of 12
• List factors of 36
• Reduce by dividing numerator and denominator by
  the GCF.
• Answer-

3
Simplifying Fractions

• When simplifying fractions you must find the
  Greatest Common Factor or GCF
• Ex. 2-
• List factors of 42
• List factors of 54
• Reduce by dividing numerator and denominator by
  the GCF.
• Answer-

4
Simplifying Fractions

• Practice 2-
• Answer-

• Practice 1-
• Answer-

5
Simplifying Improper Fractions

• When simplifying improper fractions you must
  divide the numerator by the denominator.
• Ex. 1-
• 10 goes into 33 three times evenly
• 3 becomes your whole number
• There are 3 left over from the 33. Put the
  remainder of 3 over the original denominator.
• Answer- 3

6
Simplifying Improper Fractions

• Practice 1-
• Answer- 3

7
Simplifying Improper Fractions

• Practice 2-
• Answer- 1
• Reduce- 1

8
Adding Fractions

• When adding fractions you must find the Least
  Common Multiple for all denominators
• Ex. 1-
• List your common multiples
• Find your Least Common Multiple (LCM)
• LCM is your new denominator
• Ask your self, How many times does the original
  denominator go into the new denominator?
• Multiply the numerator by that number
• Add numerators
• Keep denominator same
• Answer-

9
Adding Fractions

• When adding fractions you must find the Least
  Common Multiple for all denominators
• Ex. 2-
• Answer-

10
Adding Fractions

• Practice 1-
• Answer-

11
Adding Fractions

• Practice 2-
• Answer-
• Reduce

12
Adding Fractions

• Practice 3- 1 2
• Answer-3
• Reduce- 3

13
Multiplying Fractions

• When multiplying fractions you multiply the
  numerators strait across and then the
  denominators strait across.
• Ex. 1- X
• Answer-
• Reduce-

14
Multiplying Fractions

• Practice 1- X
• Answer-
• Reduce-

15
Multiplying Fractions

• Practice 2- X
• Answer-

16
Changing Mixed Numbers to Improper Fractions

• Step 1-Multiply the denominator by the whole
  number.
• Step 2-Take that new number and add it to the
  numerator.
• Step 3-This becomes your new numerator.
• Step 4-The denominator stays the same.
• Ex. 1- 3
• Answer-

17
Mixed Numbers to Improper Fractions

• Practice 1- 3
• Answer-

18
Mixed Numbers to Improper Fractions

• Practice 1- 2
• Answer-

19
Multiplying Mixed Numbers

• Change the fraction to an improper fraction
• Multiply the numerators strait across
• Multiply the denominators strait across.
• Ex. 1- 3 X 2
• Answer-
• Reduce-

20
Mixed Numbers to Improper Fractions

• Practice 1- 2 X 3
• Answer-