About This Chapter
Rational Numbers - Chapter Summary
A fraction indicates the difference between the individual parts and the whole. This chapter teaches you about the numerator and denominator that make up a fraction and how to build fractions based on given sets of data. Moving on through the lessons, you can practice reducing fractions to their simplest forms by using the greatest common factor and then work on finding common denominators to compare and order fractions.
This chapter also supplies information and practice for estimating fractions by rounding them to the nearest whole number. By the time you've completed these lessons, you should be able to:
- Understand what a fraction signifies and name the parts of a fraction
- Build and reduce fractions
- Choose the greatest common factor
- Understand improper fractions and mixed numbers
- Identify the methods for finding the common denominator
- Compare fractions using the numerator
- Estimate with fractions
- Add, subtract, multiply and divide fractions and mixed numbers
This chapter provides numerous examples and gives you many opportunities to practice solving various types of problems containing fractions. Watch the short videos presented by professional instructors as many times as you like. Take the quick, interactive quizzes at the end of each lesson for immediate feedback. If you need to revisit specific concepts, you can use the video tags for quick access to those targeted portions. You can also refer to the print transcripts of the lessons at any time.
1. How to Build and Reduce Fractions
Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.
2. How to Find Least Common Denominators
Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.
3. Comparing and Ordering Fractions
Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.
4. Changing Between Improper Fraction and Mixed Number Form
Improper fractions and mixed numbers are two different types of fractions. They both have different purposes when using fractions in a problem. In this lesson, you will learn how to convert between these two different forms.
5. How to Add and Subtract Like Fractions and Mixed Numbers
When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.
6. How to Add and Subtract Unlike Fractions and Mixed Numbers
Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.
7. Multiplying Fractions and Mixed Numbers
Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.
8. Dividing Fractions and Mixed Numbers
Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.
9. Practice with Fraction and Mixed Number Arithmetic
Adding whole numbers is one thing. But adding fractions and mixed numbers? That's not so simple. Or is it? In this lesson, we'll practice arithmetic with both fractions and mixed numbers.
10. Estimation Problems using Fractions
When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.
11. Solving Problems using Fractions and Mixed Numbers
Fractions don't just live in math problems. They're all around us, helping us through our lives. In this lesson, we'll look at real scenarios where your ability to work with fractions can save the day.
12. How to Solve Complex Fractions
Did you know fractions can nest within fractions? In this lesson, we'll learn about complex fractions and look at two different methods for solving them.
13. Calculations with Ratios and Proportions
Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.
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Other chapters within the SAT Subject Test Mathematics Level 1: Practice and Study Guide course
- Basic Arithmetic Calculations
- Square Roots
- Decimals and Percents
- Basic Algebraic Expressions
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Understanding the Basics of Functions
- Algebra: Rational Expressions
- Mathematical Sequences
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry - Graphing
- Lines and Angles
- Properties of Triangles
- Properties of Circles
- Finding Perimeter, Area & Volume
- Solid Geometry
- Trigonometry Basics
- Understanding Probability & Statistics
- SAT Subject Test Mathematics Level 1 Flashcards