# Fractions

**Overview:**

In this workshop, you will learn to:

1. Change mixed numbers to improper fractions and improper fractions to mixed

numbers

2. How to find common denominators

3. Add and subtract fractions and mixed numbers

4. Raise and reduce fractions

5. Multiply and divide using fractions and mixed numbers

What is a Fraction?

What is a fraction and how can you use in real life ?

Other types of fractions you may have seen:

**Mixed Numbers and Improper Fractions**

Now we will introduce mixed numbers and improper fraction. What do they look
like ?

**Mixed number:**

**Improper fraction: **

Theses numbers look different but they are the same
number.

**Common Denominators**

To find a common denominator, you look for the lowest number that each
denominator

can divide into evenly . This number is called the Lowest Common Denominator, or
the

LCD. Let’s try some examples.

You can not add or subtract fractions with different denominators. Therefore,
before you

add or subtract fractions, you must find and change the fractions to a common

denominator.

Example 1: Find the LCD of and
.

Example 2: Find the LCD of
and
.

**Raising and Reducing Fractions**

This section will help multiply and divide fractions into a simpler form. This
section will

help you to reduce those monstrous fractions.

Some examples on **reducing:**
since greatest common divisor is 4, divide the 4 and the

12 to have
. If the number is too large, find some
numbers that will reduce the

numerator and the denominator . Try these examples:

Reduce the following fractions:

**Adding and Subtracting Fractions and Whole Numbers
With Common Denominators**

If the fractions have a common denominator, then you can add or subtract the fraction’s

numerators. If not that’s when the LCD will be used to find the common denominator.

**Example 1:**

**Example 2:**

**Example 3:**

**Example 4: **

**Adding and Subtracting Fractions and Whole Numbers
With Common Denominators**

If the fraction does not have a common denominator, then the LCD will help find the

common denominator to help add or subtract our fractions. As the presenter goes on try

to do the problem with him/her.

**Multiplying and Dividing Fractions**

Finally, multiplying and dividing fractions does not require you to find the LCD. You

may have to reduce your fractions in order to solve those rigorous fractions. We can

never divide fractions, but we can take the reciprocal to change it to multiplication.

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