Adding Fractions

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Information about Adding Fractions

Published on July 4, 2009

Author: normfrankenberger

Source: slideshare.net

Description

Adding Fractions with Different Denominators

Norm Frankenberger Adding Fractions + With Different Denominators Adding Fractions

Adding Fractions Norm Frankenberger Summary Slide Why Adding Fractions Is Important? Identifying the Parts of a Fraction The Most Important Rule What If the Fractions You’re Adding Have Different Denominators Choosing a Common Denominator Converting Fractions to Equivalents Equivalent Fractions

Why Adding Fractions Is Important? In March 2008, a presidential panel reported after a two year study that “schools could improve students’ math scores by hammering home the basics, such as addition and multiplication, and then increasing the focus on fractions and geometry. In addition the report stated… Adding Fractions Norm Frankenberger

Adding Fractions Norm Frankenberger “Difficulty with fractions (including decimals and percents) is pervasive and is a major obstacle to further progress in mathematics, including algebra.” Success in algebra is linked to higher graduation rates and college enrollment. Let’s get started!

Norm Frankenberger Identifying the Parts of a Fraction The top number is called the numerator. The bottom number is called the denominator. 3 4 numerator denominator Adding Fractions

Norm Frankenberger The Most Important Rule You CANNOT add (or subtract) fractions unless the denominators are the same! 1 3 + 1 4 does not add up to 2 7 Adding Fractions

Adding Fractions Norm Frankenberger What If the Fractions You’re Adding Have Different Denominators You must choose a new common denominator You must change the fractions into their equivalent forms.

Adding Fractions Norm Frankenberger Choosing a Common Denominator 1 + 3 1 4 Go through the list of multiples of the two denominators and pick out the first number that appears in both lists. This is the common denominator!

Adding Fractions Norm Frankenberger Converting Fractions to Equivalents Put equal signs and the common denominator next to the original fractions Ask, “Three times what number equals twelve?” Answer: “Four” Now, whatever you do the bottom of the fraction, you must do to the top. Multiply the numerator times fourx 4 = 12 12 1 + 3 1 4 4 = = x 4 = x 3 = 3 x 3 = Now repeat the same process with the second fraction.

Put equal signs and the common denominator next to the original fractions

Ask, “Three times what number equals twelve?”

Answer: “Four”

Now, whatever you do the bottom of the fraction, you must do to the top.

Multiply the numerator times four

Adding Fractions Norm Frankenberger Before we add the numerators… Let’s take a closer look at equivalent fractions: They are the mechanism by which we can change the original fractions into fractions with different denominators without losing the original value If it wasn’t for equivalent fractions we could not add (or subtract) fractions.

Norm Frankenberger Equivalent Fractions Equivalent fractions allow us to change a fraction to a fraction with a different denominator but with the same value. For example: == ½ ½ ½ In other words, ½ = 2/4= 4/8 2/4 4/8 Adding Fractions

Norm Frankenberger Now, Let’s Finish the Problem Now, you add the numerators and put the total over the common denominator. x 4 = 12 12 1 + 3 1 4 4 = = x 4 = x 3 = 3 x 3 = 7 12 Adding Fractions

Adding Fractions Norm Frankenberger I hope that helped and remember: "Numbers are your friends, especially when they are on your paycheck."

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