This document provides instructions and examples for adding, subtracting, multiplying, and dividing fractions and mixed numbers. It discusses representing whole numbers as fractions, raising fractions to higher terms, reducing fractions to lowest terms, finding common denominators, multiplying fractions as finding a fraction of a fraction, dividing fractions by inverting the divisor, and solving word problems involving fractions.

1. • 1. GED Practice (Fractions)
• 2. Review: Improper/Mixed Numbers
• 3. Adding/Subtracting Fractions/Mixed
Numbers
• 4. Multiplying/Dividing Fractions

2. • Change to a mixed number.
• Change to an improper fraction.
• Raise to higher terms.
• Reduce to lowest terms.

3. • Find a common denominator.
• Write three equivalent fractions for the above
with a common denominator of 20.

4. +

5. • 1. How can one whole be represented as a
fraction?
• 2. How do you raise a fraction to higher terms?
• 3. How do you reduce a fraction to lowest terms?
• 4. Why would you raise a fraction to higher
terms?

7. • When you multiply, you are finding a fraction of
a fraction.
• The product is smaller than the fractions you
multiply.
• The phrase “a fraction of” means to multiply.
• Multiplying fractions means finding a “part of a
part”.

8. • Step 1: Multiply the numerators together
• Step 2: Multiply the denominators together.
• Step 3: Reduce the answer if possible.
21

80

9. • To cancel, find a number that divides evenly
into the numerator of one fraction and the
denominator of the other.
1 2 •Step 1: Divide 3 and 15 by 3
2 •Step 2: Divide 4 and 8 by 4
•Step 3: Multiply the new
1 5
5 numerators and
denominators.

10. • A whole number can be written as a fraction
with a denominator of 1.
• Remember: a fraction of means to multiply.
Find ¾ of 24.
•Step 1: Write 24 as a fraction.
•Step 2: Divide 4 and 24 by 4.
•Step 3: Multiply across.
•Step 4: Change the improper
fraction to a whole number.

11. • Step 1: Change to an
improper
fraction.
• Step 2: Divide 4 and
6 by 2.
• Step 3: Multiply
across.
• Step 4: Change the
improper
fraction to a
mixed number.

12. • In division problems with fractions
or mixed numbers, you must invert
(flip) the divisor.
invert
inverse
flip

13. • Step 1: Write each number in fraction form. (K)
• Step 2: Invert the divisor and change the ÷
to a × sign. (SF!)
• Step 3: Follow the rules for multiplying
fractions.
×

14. 1. Can you cross
cancel?
2. Multiply Tops and
Bottoms straight
across!
3. Are you done?
2
×
1

15. • Change to an improper fraction and then
proceed as usual.