Objectives:​​

• Add and subtract fractions with the same denominator (like denominators)
• Add and subtract fractions with different denominators (unlike denominators)
• Reduce fractions to simplest form

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What are the different types of fractions?
A fraction can be (1) proper, (2) improper, or (3) a mixed number.

(1) A proper fraction has a numerator that is less in absolute value than the denominator. This means that the absolute value of the fraction is less than 1 but greater than 0. Some examples include: 

(2) An improper fraction has a numerator that is greater in absolute value than the denominator. This means that the absolute value of the fraction is greater than 1. Some examples include:

(3) A mixed number is a whole number with a proper fraction. Some examples include:

We can convert improper fractions into mixed numbers and vice versa. You will see this in the examples below.

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Adding and Subtracting Fractions with Like Denominators

Lets look at an example of adding two fractions with the same denominator:

Examples

Simplify by performing the given operation:

Multiplying & Dividing Integers

Now, we will move onto multiplying and dividing integers. Multiplying integers is similar to dividing integers because when the "same sign" is being multiplied or divided, then the result will be positive.  The multiplication or division of "opposite signs" will result in a negative. Let's look at some examples:

Examples

Simplify by performing the given operation:

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Quiz

You will take the quiz after you have researched and taken notes on the operations on integers.

​CLICK HERE FOR QUIZ