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# Math: Basic Tutorials : Fractions

# Fractions: sub-module 1 of 4 of math tutorials

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## Resources

## Topics

## Fractions 8 sub-modules

## Test Your Knowledge

Try this activity to test your skills. If you have trouble, check out the information in the module for help.

Fractions are numbers that are not whole; they represent parts of a whole number. You have likely encountered several examples of fractions in your day-to-day life. For example, a recipe may require 3 quarters of a cup of flour. If a pizza is divided into eight equal slices, this is a fraction: each slice is one-eighth of the whole pizza. This module will help you understand fractions and review key concepts so that you will feel comfortable working with fractions.

**Don’t be afraid to work with fractions!**You are going to encounter fractions in math and in everyday life, so get comfortable working with them.**To add and subtract fractions, you need a common denominator first.**Once you have that, you can add or subtract the numerators and place them over the common denominator.**To multiply fractions, multiply the numerators and denominators individually.**Multiply the numerators of the fractions together and then multiply the denominators together to get the result.**To divide fractions, multiply the first fraction by the reciprocal of the second fraction.**To get the reciprocal, flip the second fraction so that the numerator becomes the denominator and vice versa. Multiply that by the first fraction.**Always convert mixed numbers to improper fractions before multiplying or dividing fractions.**Instead of a whole number with a fraction (e.g. 5 ⅔), you want a fraction where the numerator is bigger than the denominator (e.g. 17/3). You can also do this for addition and subtraction if you prefer this method.**Always remember to simplify your fractions to the lowest terms in your final answer.**If the numerator and the denominator have a common factor other than 1 (i.e. they can be divided by the same number), simplify them.**Any whole number can be written as a fraction by placing it over 1.**If you have a whole number and a fraction to work with, this will allow you to work with two fractions instead.

- Fraction Rules Summary - PDF - Opens in a new windowUse this document as a quick reference guide for rules on adding, subtracting, multiplying, and dividing fractions.
- Fraction General Overview - PDF - Opens in a new windowThis document summarizes all the lessons in this module. It also includes examples of adding, subtracting, multiplying, and dividing fractions that contain variables.