Transcript Adding and Subtracting Fractions With Unlike Denominators

Adding and Subtracting Fractions
With Unlike Denominators
4 3 ?
 
5 4 ?
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What’s Next
Directions: Click on the smaller circles for a refresher on specific topics before
adding and subtracting fractions with unlike denominators.
Adding and
Subtracting
Fractions with
Common
Denominators
Adding and Subtracting
Fractions with
Unlike Denominators
Generating
Equivalent
Fractions
TEKS
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aligned TEKS
Finding the
Least Common
Multiple
LCM
Click here for
website links
Websites
Lesson - Adding and Subtracting Fractions
with common denominator
Steps:
1.
Make sure the fractions have the same denominator.
2.
Add the numerators together.
3.
Leave the denominator the same.
Example:
2

6
3

6
5
6
2 3 5
 
6 6 6
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Lesson – Generating Equivalent Fractions
Steps:
1.
Multiply the numerator and the denominator by the same number.
2.
By doing so, you will create an equivalent fraction.
Example1:
1
1 Whole
1/2
¼
1/2
¼
¼
½
¼
1/6 1/6 1/6 1/6 1/6 1/6
1/8
1/8
1/8
1/8
1/8
1/8
1/8
1/8
2/4
3/6
1 2 2
 
2 2 4
1 3 3
 
2 3 6
1 4 4
 
2 4 8
4/8
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Lesson – Finding the Least Common
Multiple (LCM)
Steps:
1. Write out the multiples of the first number.
2. Write out the multiples of the second number.
3. Find the smallest multiple that both numbers
have in common.
Example:
Example:
4: 4, 8, 12, 16, 20, 24
2: 2, 4, 6, 8, 10, 12, 14, 16
5: 5, 10, 15, 20
8: 8
LCM: 20
LCM: 8
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Lesson - Adding Fractions with
Unlike Denominators
Step:
1.
Determine the denominators
2.
Find the least common multiple (LCM).
3.
Your least common multiple will become your least common
denominator (LCD).
4.
Generate Equivalent Fractions using the LCM as the LCD.
5.
Add or Subtract Fractions.
Example:
1.
LCM:
3: 2, 4, 6, 8, 10, 12
4: 4, 8, 12
1 1
 
3 4
1 4

3 12
1 3

4 12
3 4 7
 
12 12 12
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Lesson - Subtracting Fractions with
Unlike Denominators
Step:
1.
Determine the denominators
2.
Find the least common multiple (LCM).
3.
Your least common multiple will become your least common
denominator (LCD).
4.
Generate Equivalent Fractions using the LCM as the LCD.
5.
Add or Subtract Fractions.
Example:
1.
LCM:
2: 2, 4, 6
4: 4
1 1
 
2 4
1 2

2 4
1 1

4 4
2 1
 
4 4
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1
4
Websites
For more help with adding and subtracting fractions you
can visit these websites:
• Cool Math For Kids
• Adding Fractions - Sheppard Software
• Adding and Subtracting Fractions Game
• Adding and Subtracting Fractions with Unlike
Denominators
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