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# Adding Fractions With Unlike Denominators

## on Feb 23, 2010

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Learn how to add and subtract fractions with unlike denominators

Learn how to add and subtract fractions with unlike denominators

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## Adding Fractions With Unlike DenominatorsPresentation Transcript

• M5N4 g. Add and subtract common fractions and mixed numbers with unlike denominators.
How to add and subtract fractions with unlike denominatorsCreated by: Sarah Hallum
• Step 1
Find the Least Common Multiple for the two denominators.
Definitions:
Denominator-bottom number in fraction
Multiple-the answer to a multiplication problem between two whole numbers. Ex. 5-5, 10, 15, 20
Least Common Multiple-the first multiple two numbers have in common. Ex. 5-5, 10, 15, 20, 25
4-4, 8, 12, 16, 20, 24
LCM is 20.
• Step 1
Find the Least Common Multiple for the two denominators.
1
2
1
3
LCM=6
2-2, 4, 6, 8, 10
3-3, 6, 9, 12, 15
• Step 2
Make equivalent fractions that have the LCM as the denominator.
Definitions:
Equivalent Fraction-A fraction that is the same value as another fraction but different pieces
Example:
1 2
2 4
• Step 2
Make equivalent fractions that have the LCM as the denominator.
LCM=6
1
2
1
3
1
3
2
2
2
6
• Step 2
Make equivalent fractions that have the LCM as the denominator.
LCM=6
1
2
1
3
1
3
3
3
2
6
• Step 3
Add or subtract the new, equivalent fractions together.
3
6
2
6
5
6
• Step 4
Definitions:
Simplify-make your fraction as simple as possible
6
9
3
3
2
3
• Step 4
5
6
1
1
5
6
5=1, 5
6=1, 2, 3, 6
1
2
1
3
5
6
• Let’s Practice
2/3 + 2/7
½ +2/9
1/5 + ¾
1/3 + ¼
2/4 + ½