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 INTERMEDIATE ALGEBRA
 Course Syllabus for Algebra I
 MidPlains Community College
 FRACTION OF A WHOLE NUMBER
 Systems of Linear Equations
 MATH FIELD DAY
 Course Outline for Finite Mathematics
 Calculus
 Algebra Final Examination
 Math 310 Exam #2
 Review of Trigonometric Functions
 Math 118 Practice test
 Precalculus Review
 Section 12
 Literal Equations
 Calculus Term Definitions
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 Public Key Algorithms II
 Maximizing Triangle Area
 Precalculus I Review for Midterm
 REVIEW OF A FIRST COURSE IN LINEAR ALGEBRA
 Math 6310 Homework 5
 Some Proofs of the Existence of Irrational Numbers
 ALGEBRAIC PROPERTIES OF MATRIX OPERATIONS
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 Math 112 syllabus
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 Complex Numbers,Complex Functions and Contour Integrals
 APPLICATIONS OF LINEAR EQUATIONS
 Week 4 Math
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 Investigating Liner Equations Using Graphing Calculator
 MATH 23 FINAL EXAM REVIEW
 Algebra 1
 PYTHAGOREAN THEOREM AND DISTANCE FORMULA
 Georgia Performance Standards Framework for Mathematics  Grade 6
 Intermediate Algebra
 Introduction to Fractions
 FACTORINGS OF QUADRATIC FUNCTIONS
 Elementary Algebra Syllabus
 Description of Mathematics
 Integration Review Solutions
 College Algebra  Applications
 A Tip Sheet on GREATEST COMMON FACTOR
 Syllabus for Elementary Algebra
 College Algebra II and Analytic Geometry
 Functions
 BASIC MATHEMATICS
 Quadratic Equations
 Language Arts, Math, Science, Social Studies, Char
 Fractions and Decimals
 ON SOLUTIONS OF LINEAR EQUATIONS
 Math 35 Practice Final
 Solving Equations
 Introduction to Symbolic Computation
 Course Syllabus for Math 935
 Fractions
 Fabulous Fractions
 Archimedean Property and Distribution of Q in R
 Algebra for Calculus
 Math112 Practice Test #2
 College Algebra and Trigonometry
 ALGEBRA 1A TASKS
 Description of Mathematics
 Simplifying Expressions
 Imaginary and Complex Numbers
 Building and Teaching a Math Enhancement
 Math Problems
 Algebra of Matrices Systems of Linear Equations
 Survey of Algebra
 Approximation of irrational numbers
 More about Quadratic Functions
 Long Division
 Algebraic Properties of Matrix Operation
 MATH 101 Intermediate Algebra
 Rational Number Project
 Departmental Syllabus for Finite Mathematics
 WRITTEN HOMEWORK ASSIGNMENT
 Description of Mathematics
 Rationalize Denominators
 Math Proficiency Placement Exam
 linear Equations
 Description of Mathematics & Statistics
 Systems of Linear Equations
 Algebraic Thinking
 Study Sheets  Decimals
 An Overview of Babylonian Mathematics
 Mathematics 115  College Algebra
 Complex Numbers,Complex Functions and Contour Integrals
 Growing Circles
 Algebra II Course Curriculum
 The Natural Logarithmic Function: Integration
 Rational Expressions
 QUANTITATIVE METHODS
 Basic Facts about Rational Funct
 Statistics
 MAT 1033 FINAL WORKSHOP REVIEW
 Measurements Significant figures
 PreCalculus 1
 Compositions and Inverses of Functions
Fractions and Decimals
Terms
Numerator: which tells how many parts you have (the number on top)  →  
Denominator: which tells how many parts in the whole (the number on the bottom)  → 
Example:
is 3 parts have a dot out of 4 
Proper fraction: the top number is less than the bottom number.
Ex:
Improper fraction: the top number is equal to or is larger than the bottom number.
Ex:
Mixed Number: a whole number is written next to a proper fraction.
Ex:
Common Denominator: is a number that can be divided evenly by all of the denominators in the problem
Ex:
The common denominator for these
fractions will be 12. It also happens to
be least common denominator.
Reducing Fractions to Lowest Terms
Example:
Step 1: Find a number that goes evenly into the
numerator and the denominator of the fraction. With the
fraction to the left, the number that will go in evenly is 8.
Step 2: Check to see whether another number goes
evenly into both the numerator and denominator. Stop
when there are no more numbers that can go into the fraction.
In the example, the fraction can be reduced further by dividing it by 2.
Changing Mixed Numbers to Improper Fractions
Example: Change to an improper fraction.
Step 1: Multiply the denominator by the whole number.  
Step 2: Add the result to the numerator.  
Step 3: Place the total over the denominator 
Adding and Subtracting Fractions With Different Bottom Numbers
Example 1:  Example 2:  
Step 1: Need to find the common denominator for all fractions 

Step 2: Then go ahead and add or subtract the fractions. 
*Remember to change improper fractions to a mixed number.
Multiplying Fractions
Multiply the numerators across. Then multiply the
denominators across. Make sure the product is in lowest terms.
Multiplying with Mixed Numbers
Example:
Step 1: Change every mixed fraction to an improper fraction. 

Step 2: The multiply across.  
Step 3: Then, change the improper fraction to a mixed number in lowest terms. 
Dividing Fractions
Example:
The fraction that is right of the division sign will need
to be turned upside down by writing the numerator in the denominator
and the denominator in the numerator. Then follow the rules for multiplying
fractions.
Practice:
1. Change to an improper fraction
2. Change to a mixed number.
Answers: