__Objectives:__

- Determine the sum or difference of positive and negative fractions.
- Determine the least common multiple of two numbers.
- Convert a mixed number into an improper fraction, and vice versa.
- Reduce or simplify a fraction to its lowest terms.

You have previously learned how to add and subtract positive fractions. In this lesson, you will take a step further by adding and subtracting fractions where some of the fractions will be negative.

__The RULES for Adding & Subtracting Rational Numbers__

Before we begin adding and subtracting fractions, you will need to review the addition/subtraction rules. Recently, you have learned the addition and subtraction rules when adding and subtracting integers. Did you know that these same rules are used when adding and subtracting fractions? Let's look at a review of the rules below!

__Adding & Subtracting Fractions__

Now that we have reviewed the addition/subtraction rules, we can apply this knowledge to add and subtract positive and negative fractions! Please note that there are many different methods used to add and subtract fractions. We will find the least common denominator (LCD) by determining the least common multiple (LCM) of the two denominators. We will use this method so that we can obtain common denominators. Let's take a look!

__Your Turn #1__

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__Your Turn #2__

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__Your Turn #3__

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__Your Turn #4__

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## Quiz

(C) 2017 MATH IN DEMAND