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Grade 8:  The Learning Equation Math

12.03 Adding Fractions with Unlike Denominators

Number Operations

Refresher pp 16-17

Learning Objectives:

The student will:

add2_fract.gif (23607 bytes)

Adding Proper/Improper Fractions with Unlike Denominators

addend + addend = sum

1.  When the denominators are different determine the lowest common denominator (LCD).

2.  Change each fraction to an equivalent fraction with the LCD.

3.  Add the numerators together and place the sum over the LCD.

4.  Reduce to lowest terms (if necessary).

Compare Fractions

Equivalent Fractions Game

Integer Bars (Cusenaire Rods): Learning Fractions

Pattern Blocks: Exploring Fractions with Shapes

Adding Fractions 1

Adding Fractions with Unlike Denominators Instructions

 

The addends must be entered before the Explain button works

You may enter the sum in fraction or mixed number form. In the above example, both 13/10 or 1 3/10 are acceptable.

From Richard E. Rand's: VISUAL FRACTIONS

 

Adding Fractions 2

Adding Fractions with Unlike Denominators Instructions

The addends must be entered before the Explain button works

The sum must be written as a mixed number and in lowest terms.

From Richard E. Rand's: VISUAL FRACTIONS

 

Adding Fractions 3

    

source:  Visual Fractions Download Page at:
http://www.dsu.nodak.edu/~edkluk/FractAdd/fr_dwnld.html

 

 

 

Review:

Fractions Drills - choose addition.  Try Level 2 first.

FunBrain.com's Soccer Shootout - choose addition (easy, medium, hard)

Adding and Subtracting Fractions

 

Enrichment:

 

Key Terms:

sum, numerator, denominator, unit fraction, proper fraction, improper fraction, mixed number, equivalent fractions, simplest terms, least common multiple (LCM), Least common denominator (LCD)

 

Prerequisite Skills:

Multiples and Least Common Multiples - cool

 

LCM Calculator

Enter the first and second valules, then click "Solve".

First Value
Second Value
Least Common Multiple

Free JavaScripts provided
by The JavaScript Source

LCM and GCD Calculator

Linked source:  http://www.central.edu/homepages/LintonT/classes/spring01/cryptography/java/gcd.html

Another calculator is available.

 

Greatest Common Divisor (GCD) corresponds to Greatest Common Factor (GCF)

source:  common.java

 

Lesson on Multiples and Least Common Multiples

 

Conversion of Fractions:  Grade 7 Lesson 11.05 - improper fractions

Conversion of Fractions:  Grade 7 Lesson 11.05 - mixed numbers

What is Fraction - Practice Game

 Source: http://www.dsu.nodak.edu/~edkluk/FractAdd/fr_dwnld.html

 

 

Instructions - Mixed Numbers to Improper Fractions

From Richard E. Rand's: VISUAL FRACTIONS

 

Instructions - Improper Fractions to Mixed Numbers

From Richard E. Rand's: VISUAL FRACTIONS

 

Equivalent Fractions Game

 

Adding and Subtracting Fractions (Like Denominators):  Grade 8 Lesson 12.02

Converting Fractions:  Grade 7 Lesson 11.05

 

 

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Comments to:  Jim Reed
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