Fractions, decimals, & percentages

In these tutorials, we'll explore the number system. We'll convert fractions to decimals, operate on numbers in different forms, meet complex fractions, and identify types of numbers. We'll also solve interesting word problems involving percentages (discounts, taxes, and tip calculations).

Adding & subtracting rational numbers

We're going to mix it up a little in this set of examples. Remember that a rational number is a real number that can be written as a simple fraction, or by extension a decimal or percentage. We have to be able to add and subtract numbers when they are in different formats, whether fraction, decimal or percentage. This gets to be fun as learn to move between these expressions of rational numbers, and start to understand they're all pointing to same thing! Common Core Standards: 7.NS.A.1d
Comparing rational numbers
U09_L1_T3_we4 Comparing Rational Numbers
Comparing rational numbers
Practice comparing decimals, percents, fractions, and mixed numbers.
Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
Sal evaluates 79% - 79.1 - 58 1/10.
Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
Sal evaluates 0.79 - 4/3 - 1/2 + 150%.
Adding & subtracting rational numbers
Practice adding and subtracting negative fractions, decimals, and percents.

Rational number word problems

You already have many tools in your mathematical toolkit: addition, subtraction, multiplication, and division of decimals and fractions, as well as your understanding of units of measure. Now we'll put them all to work in solving some multi-step word problems. Common Core Standards: 7.EE.B.3
Rational number word problem: school report
First visualize this word problem then use subtraction and multiplication of decimals and fractions to get at the answer.
Rational number word problem: cosmetics
Remember units of measurement? Convert minutes into hours and put your knowledge of fractions to work in this word problem.
Rational number word problem: cab
Budgeting money is one of the most valuable math skills you'll learn. Practice with us as we figure out how much money is left after a cab fare.
Rational number word problem: ice
Word problems force us to put concepts to work using real-world applications. In this example, determine the volume of frozen water and express the answer as a fraction.
Rational number word problem: computers
In this word problem, we'll compare the weight of two objects using a ratio of integers. We'll practice simplifying a fraction, too.
Rational number word problem: stock
Use your knowledge of proportions and fractions to determine shareholders profit in this word problem.
Rational number word problem: checking account
Your checking account is overdrawn. Not good. Use your knowledge of decimals and adding negative and positive numbers to bring your account back into the black.
Rational number word problems
Practice solving multi-step word problems. The numbers in these problems may be fractions, decimals, and percents.