About This Chapter
Fractions Review - Chapter Summary and Learning Objectives
Learn simple methods and techniques for solving problems with fractions and mixed numbers by using the lessons in this chapter. You will review how to apply basic math functions to fractions, types of fractions and methods for solving complex fractions. Each lesson offers printable transcripts, self-assessment quizzes, timeline features for jumping to specific topics in the videos and the opportunity to ask instructors questions about the material. The lessons address:
- How to raise and reduce fractions
- Finding least common denominators
- How to convert between improper fractions and mixed numbers
- Adding, subtracting, multiplying and dividing fractions and mixed numbers
- How to use and work with inequalities
- What complex fractions are and how to solve them
|How to Raise and Reduce Fractions||Explain how to raise and reduce fractions to simplify problem solving.|
|How to Find Least Common Denominators||Discuss how to use multiples to find least common denominators.|
|Changing Between Improper Fraction and Mixed Number Form||Understand what improper fraction and mixed number forms are and how to convert them.|
|How to Add and Subtract Like Fractions and Mixed Numbers||Solve addition and subtraction problems with fractions and mixed numbers.|
|How to Add and Subtract Unlike Fractions and Mixed Numbers||Illustrate how to solve addition and subtraction problems when denominators do not match.|
|Multiplying Fractions and Mixed Numbers||Break down examples of multiplying fractions and mixed numbers.|
|Dividing Fractions and Mixed Numbers||Show examples of how to divide fractions and mixed numbers.|
|How to Solve Complex Fractions||Review methods for solving complex fractions.|
1. How to Raise and Reduce Fractions
To raise a fraction, the same number is multiplied by the numerator and the denominator; to reduce a fraction, division by the same number is used. Learn how to raise and reduce fractions with examples.
2. How to Find Least Common Denominators
Finding the least common denominator requires calculating the least common multiple of two or more denominators. Learn the definition of multiples, explore how to use them to find the least common denominator, and understand the examples.
3. Changing Between Improper Fraction and Mixed Number Form
In mathematics, an improper fraction has a denominator that is smaller than its numerator, and a mixed number is composed of an integer paired with a proper fraction. Practice examples to learn how to change between the forms for improper fractions and mixed numbers. Understand when each form is appropriate and should be used over the alternate form.
4. How to Add and Subtract Like Fractions and Mixed Numbers
After determining a common denominator in a problem with mixed numbers and fractions, adding and subtracting fractions and mixed numbers requires two more steps. Learn how to add and subtract like fractions and mixed numbers, and review examples.
5. How to Add and Subtract Unlike Fractions and Mixed Numbers
Some of the most commonly seen forms of fractions are unlike fractions and mixed numbers. Learn to add and subtract unlike fractions and mixed numbers by reviewing how fractions are handled then explore these processes using real-life examples.
6. Multiplying Fractions and Mixed Numbers
Fractions can be multiplied, even when presented as mixed numbers, where an integer accompanies a fraction. Demonstrate understanding through solving examples in dollars, and practicing multiplying fractions and mixed numbers.
7. Dividing Fractions and Mixed Numbers
Fractions can be divided even when presented as mixed numbers, which is where an integer accompanies a fraction. Practice the division of fractions and mixed numbers in a series of practical scenarios.
8. How to Solve Complex Fractions
Complex fractions are fractions that contain fractions in the numerator, denominator, or both. Learn the two methods used to manage and solve complex fractions by simplifying the problem.
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Other chapters within the Honors Algebra 2 Textbook course
- Honors Algebra 2: Basic Arithmetic Review
- Honors Algebra 2: Statistics
- Honors Algebra 2: Algebraic Expressions
- Honors Algebra 2: Solving Algebraic Equations
- Honors Algebra 2: Properties of Real Numbers
- Algebra II: Complex and Imaginary Numbers
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Absolute Value Review
- Honors Algebra 2: Properties of Functions
- Honors Algebra 2: Graphing Functions
- Honors Algebra 2: Linear Equations
- Honors Algebra 2: Graphing Linear Equations
- Honors Algebra 2: Graphing & Interpreting Scatterplots
- Honors Algebra 2: Systems of Linear Equations
- Honors Algebra 2: Solving & Graphing Linear Inequalities
- Algebra II: Matrices and Determinants
- Honors Algebra 2: Polynomials
- Honors Algebra 2: Graphing Polynomials
- Algebra II: Factoring
- Honors Algebra 2: Roots of Real Numbers
- Honors Algebra 2: Radical Expressions
- Honors Algebra 2: Solving Rational Expressions
- Honors Algebra 2: Quadratic Formula
- Honors Algebra 2: Graphing, Solving & Factoring Quadratic Equations
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sets
- Algebra II: Combinatorics Review
- Honors Algebra 2: Trigonometric Functions
- Honors Algebra 2: Trigonometric Graphs
- Honors Algebra 2: Trigonometric Applications
- Honors Algebra 2: Solving Trigonometric Equations
- Honors Algebra 2: Trigonometric Identities
- Honors Algebra 2: Circles, Angles & Circular Arcs
- Algebra II: Conic Sections
- Algebra II: Sequences and Series
- Honors Algebra 2: Calculations, Ratios, Percent & Proportions