About This Chapter
Who's it for?
Anyone who needs help learning or mastering CAHSEE math material will benefit from taking this course. There is no faster or easier way to prepare for the CAHSEE math exam. Among those who would benefit are:
- Students who have fallen behind in understanding how to perform arithmetic operations with decimals, mixed numbers and improper fractions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about decimals and fractions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Problems with Decimals and Fractions chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Problems with Decimals and Fractions chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any decimals and fractions question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in a decimals and fractions unit of a standard high school math course. Topics covered include:
- Performing arithmetic operations with decimal numbers
- Rounding to the nearest whole number
- Building and reducing fractions
- Finding least common denominators
- Comparing and ordering fractions
- Changing between improper fractions and mixed numbers
- Adding and subtracting like fractions and mixed numbers
- Adding and subtracting unlike fractions and mixed numbers
- Multiplying fractions and mixed numbers
- Dividing fractions and mixed numbers
- Solving complex fractions
- Comparing decimals, fractions and whole numbers
- Simplifying word problems with fractions
1. Arithmetic with Decimal Numbers
Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!
2. How to Estimate with Decimals to Solve Math Problems
Watch this video lesson to learn how you can estimate problems with decimals in them so you can get a quick answer when you need it - for example, when you are at the gas station and you need to know how much gas you can afford.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
15. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
Watch this video lesson to learn how useful the number line can be when you need to compare two different numbers, be they whole numbers, decimals or even fractions. Learn how to plot these numbers on the number line so you can compare them.
16. How to Simplify Word Problems with Fractions Using Whole Numbers
Watch this video lesson to learn how to solve word problems with fractions in them easily by turning your fractions into whole numbers. Learn what you need to do to get rid of your fractions so you can easily solve your problem.
17. Adding & Subtracting Negative Decimals
The rules associated with adding and subtracting negative decimals can seem confusing. Don't fret! This lesson will teach you an easy trick that you can use to become a master at working with these pesky numbers.
18. How to Represent 0.25 as a Fraction: Steps & Tutorial
Knowing how to move from one form of equivalent number to another can often be helpful to make calculations easier. In this lesson, learn how to represent a decimal as a fraction.
19. How to Divide Fractions: Whole & Mixed Numbers
Dividing with fractions is as easy as following four simple steps. This lesson reviews how to divide fractions, specifically fraction problems that include whole numbers and mixed fractions.
20. How to Solve Two-Step Equations with Fractions
In this lesson, you will learn how to solve two-step equations involving fractions step by step. You'll also see how this might be applied to the real world.
21. How to Do Cross Multiplication of Fractions
Cross multiplication actually makes solving problems with two fractions much easier! Learn the steps you need to take in this lesson and you'll see just how easy it is to cross multiply.
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Other chapters within the CAHSEE Math Exam: Help and Review course
- CAHSEE - Number Theory & Basic Arithmetic: Help and Review
- CAHSEE - Problems with Percents: Help and Review
- CAHSEE Radical Expressions & Equations: Help & Review
- CAHSEE Algebraic Expressions & Equations: Help & Review
- CAHSEE - Algebraic Linear Equations & Inequalities: Help and Review
- CAHSEE - Problems with Exponents: Help and Review
- CAHSEE - Overview of Functions: Help and Review
- CAHSEE - Rational Expressions: Help and Review
- CAHSEE Ratios, Percent & Proportions: Help & Review
- CAHSEE - Matrices and Absolute Value: Help and Review
- CAHSEE - Quadratics & Polynomials: Help and Review
- CAHSEE - Geometry: Graphing Basics: Help and Review
- CAHSEE - Graphing on the Coordinate Plane: Help and Review
- CAHSEE - Measurement in Math: Help and Review
- CAHSEE - Properties of Shapes: Help and Review
- CAHSEE Triangles & the Pythagorean Theorem: Help & Review
- CAHSEE - Perimeter, Area & Volume in Geometry: Help and Review
- CAHSEE - Statistics, Probability & Working with Data: Help and Review
- CAHSEE - Mathematical Reasoning: Help and Review
- CAHSEE - Logic: Help and Review