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# Fractions

**EXAMPLE 4 **

**Dividing Fractions**

Find each quotient, and write it in lowest terms.

**Objective
**

**Add and subtract fractions.**

**Adding 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 ft^{2}. To paint his
house,

Tran needs enough paint to cover 4200 ft^{2}. 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)**