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 Dependent Variable

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# Fractions

EXAMPLE 4

Dividing Fractions

Find each quotient, and write it in lowest terms.  Objective Add and subtract fractions.

If and are fractions, then .

That is, to find the sum, the result of adding the numbers,
having the same denominator, add the numerators and keep the
same denominator.

If the fractions do not share a common denominator. The least
common denominator (LCD)
must first be found as follows:

Step 1:Factor each denominator.

Step 2:
Use every factor that appears in any factored form. If
a factor is repeated, use the largest number of repeats
in the LCD.

Step 3:
Find the number that can be multiplied by the
denominator to get the LCD and multiply the numerator
and denominator by that number.

Subtracting Fractions:

If and are fractions, then . .

That is, to find the difference, the result of subtracting the
numbers, between two fractions having the same denominator
subtract the numerators and keep the same denominator.

If fractions have different denominators, find the LCD using
the same method as with adding fractions.

EXAMPLE 5

Adding Fractions with the
Same Denominator

Find the sum , and write it in lowest terms.

EXAMPLE 6

Adding Fractions with Different
Denominators

Find each sum, and write it in lowest terms.  EXAMPLE 7

Subtracting Fractions

Find each difference, and write it in lowest terms.  Objective Solve applied problems that
involve fractions.

EXAMPLE 8

Adding Fractions to Solve an
Applied Problem

A gallon of paint covers 500 ft2. To paint his house,
Tran needs enough paint to cover 4200 ft2. How many
gallons of paint should he buy?

Solution: Tran needs to buy 9 gallons of paint.

Objective Interpret data in a circle graph.

EXAMPLE 9

Using a Circle Graph to
Interpret Information

In November 2005, there were about 970 million
Internet users world wide.

Which region had the second-largest number of
Internet Users in November 2005?

Estimate the number of Internet users in Europe.
How many actual Internet users were there in
Europe? FIGURE 2

EXAMPLE 9 Solutions

Solution:

a) Europe c)