Ch 15: Illinois TAP Math: Fractions, Decimals & Percents

About This Chapter

Let our lessons help you learn to perform operations with fractions, percents and decimals. Through these video lessons and self-assessment quizzes, you'll be ready for these types of questions on the TAP Mathematics exam.

Illinois TAP Math: Fractions, Decimals and Percents - Chapter Summary

The lessons in the Illinois TAP Math: Fractions, Decimals and Percents chapter will enable you to solve problems involving fractions, decimals and percentages in preparation for the Illinois TAP - Test of Academic Proficiency. You'll gain an understanding of all these types of numbers and their relationships. You'll also learn how to perform calculations involving ratios and proportions. The topics covered in this chapter include:

  • Building and reducing fractions
  • Finding the least common denominator
  • Comparing and ordering fractions
  • Changing between improper fractions and mixed numbers
  • Adding and subtracting like numbers, unlike numbers and mixed fractions
  • Multiplying and dividing fractions and mixed numbers
  • Understanding decimal place values and ordering decimal numbers
  • Solving problems using decimal numbers
  • Understanding percents
  • Changing between decimals and percents
  • Solving problems using percents
  • Changing between decimals and fractions
  • Calculating with ratios and proportions

With help from expert instructors, you'll learn to perform calculations and solve problems involving percents, fractions and decimals. You'll enjoy exploring these types of numbers and their variations, such as mixed numbers, through video lessons.

Objectives of the Illinois TAP Math: Fractions, Decimals and Percents Course

All Illinois teachers must pass the TAP exam as a licensing requirement. The TAP consists of three sections with a total of 170 multiple-choice questions and a writing segment. You must get a passing grade on each section. Fractions, decimals and percents are covered in the 50-question math section of the TAP. You can test your knowledge and become familiar of this type of test by taking the quizzes that are included with each video lesson.

18 Lessons in Chapter 15: Illinois TAP Math: Fractions, Decimals & Percents
Test your knowledge with a 30-question chapter practice test
How to Build and Reduce Fractions

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.

How to Find Least Common Denominators

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.

Comparing and Ordering Fractions

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.

Changing Between Improper Fraction and Mixed Number Form

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.

How to Add and Subtract Like Fractions and Mixed Numbers

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.

How to Add and Subtract Unlike Fractions and Mixed Numbers

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.

Multiplying Fractions and 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.

Dividing Fractions and 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.

Practice with Fraction and Mixed Number Arithmetic

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.

What is a Decimal Place Value?

10. What is a Decimal Place Value?

In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.

Comparing and Ordering Decimals

11. Comparing and Ordering Decimals

In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.

Arithmetic with Decimal Numbers

12. 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!

Solving Problems Using Decimal Numbers

13. Solving Problems Using Decimal Numbers

Problems involving decimal numbers might sound like a way to torture you, but learning how important these types of problems are in the real world is important. In this lesson, you will see a couple areas in life where you routinely encounter decimal number problems.

What is a Percent? - Definition & Examples

14. What is a Percent? - Definition & Examples

Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.

Changing Between Decimals and Percents

15. Changing Between Decimals and Percents

Watch as we go on a rollercoaster ride in changing from a decimal to percent and then back again. Learn to master this technique so you can get as fast as a rollercoaster going downhill on tests and quizzes when you have to convert between the two.

Solve Problems Using Percents

16. Solve Problems Using Percents

Percents are your friend. Think of all the cool things percents do for you. They save you money, and they tell you how well you are doing in school. Learn how you can solve problems with percents in this video lesson.

Changing Between Decimals and Fractions

17. Changing Between Decimals and Fractions

In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.

Calculations with Ratios and Proportions

18. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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