Ch 3: Compass Math: Fractions

About This Chapter

Use this chapter to help you correctly answer any test items on the ACT Compass Math exam that focus on different fraction types and methods for solving problems with them. Chapter lessons use text and video to teach each of the major topics to you.

ACT Compass Math: Fractions - Chapter Summary

You'll have a better understanding of how to raise, reduce, order and compare fractions by the time you're through with this part of your Compass Math exam prep. The other questions you'll be ready for on the test after completing the chapter may involve:

  • Estimating problems using fractions
  • Changing mixed numbers to improper fractions
  • Multiplying and dividing fractions and mixed numbers
  • Adding and subtracting like mixed numbers and fractions
  • Solving complex fractions
  • Finding the least common denominators
  • Addition, subtraction, multiplication and division with decimal notation

Changing fractions to decimals and vice versa will be a breeze after you refer to the helpful lesson covering those tasks. That lesson video and any others can quickly and effectively present the major themes, and with video tags they're easy to navigate.

Objectives of the ACT Compass Math: Fractions Chapter

The ACT Compass Math test helps determine the best academic placement for examinees by presenting questions on fractions as part of the evaluation criteria. Take this chapter's practice quizzes to get a look at questions like the ones put on the exam. The Compass Math exam has no time limit and there is no set passing score to earn.

17 Lessons in Chapter 3: Compass Math: Fractions
Test your knowledge with a 30-question chapter practice test
What is a Fraction? - Definition and Types

1. What is a Fraction? - Definition and Types

Fractions may be your friend's worst nightmare, but they don't have to be yours. Watch this video lesson to learn about fractions and how you can understand them easily. Also learn to identify the different types of fractions.

How to Raise and Reduce Fractions

2. How to Raise and Reduce Fractions

When working with fractions, you sometimes need to change your fraction to make it easier to work with. Watch this video lesson to learn how you can raise and reduce fractions to make your problem solving easier.

Relating Fractions and Decimals

3. Relating Fractions and Decimals

Watch this video lesson to learn how to use both fractions and decimals to help you solve problems. Learn how to change between the two to use the best one for your problem.

How to Find Least Common Denominators

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.

Comparing and Ordering Fractions

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.

Using the Number Line to Compare Decimals, Fractions, and Whole Numbers

6. 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.

Changing Between Improper Fraction and Mixed Number Form

7. 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.

How to Change Mixed Numbers to Improper Fractions

8. How to Change Mixed Numbers to Improper Fractions

When it comes to fractions in algebra, we hardly ever use mixed numbers. Instead, we opt for the ease of use of improper fractions. Watch this video lesson to learn how to change your mixed numbers to improper fractions.

How to Add and Subtract Like Fractions and Mixed Numbers

9. 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.

How to Add and Subtract Unlike Fractions and Mixed Numbers

10. 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.

Multiplying Fractions and Mixed Numbers

11. 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.

Dividing Fractions and Mixed Numbers

12. 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.

How to Solve Complex Fractions

13. 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.

Addition, Subtraction, Multiplication, and Division with Decimal Notation

14. Addition, Subtraction, Multiplication, and Division with Decimal Notation

Performing operations such as addition, subtraction, multiplication and division has some differences when there are decimals involved. This lesson will explain how to perform these operations all while keeping the decimals straight.

Practice with Fraction and Mixed Number Arithmetic

15. 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.

Estimation Problems using Fractions

16. 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.

Solving Problems using Fractions and Mixed Numbers

17. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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