# Fractions, decimals, & percentages

Contents
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).

## Converting fractions to decimals

This tutorial guides you through two very important skills: converting fractions to decimals and converting decimals to fractions.

## 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

## Percent word problems

At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise. Common Core Standards: 7.EE.B.3

## 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