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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Mixed Expressions and Complex Fractions

After studying this lesson, you will be able to:

• Simplify mixed expressions and complex fractions.

Example 1

 We need to convert the first fraction to a common denominator Multiply before adding Add the numerators and keep the denominator

Example 2

 This is a complex fraction. It can be read as "two-thirds divided by one-fifth". Remember the rule for dividing fractions is to multiply by the reciprocal:

Example 3

 First we convert the mixed numbers to improper fractions: Remember the rule for dividing fractions is to multiply by the reciprocal:

Example 4

This is a complex fraction. The best way to approach this problem is to work only with the numerator first. After we have completely simplified the numerator, we will work on the denominator. Then, the final step will be to divide the fractions.

First, we're only going to work with the numerator:

The common denominator will be xy. We multiply the first fraction by and the second fraction by :

This will give us . Now we add to get

Now we go back and work with the denominator: