algebraic fractions
Create A Least Common Denominator
Create Equivalent Fractions
Reducing Fractions
Placement of the Negative Sign in A Fraction
Computational Tricks
Use Parenthises To Simiplify The Expression
Add or Subtract Fractions
Divide Fractions
Some Problems and Answers
Computational Tricks
Rewrite problem with parentheses before you begin.
When creating equivalent fractions, use pairs of parentheses
to make room for needed factors: ()() - ()()
Create Equivalent Fractions
When creating equivalent fractions, think:
I have ...
I need ...
What's missing?
Reducing Fractions
Recall arithmetic
Do the same with algebraic expressions
Negative Fractions
Placement of a Negative Sign in a Fraction
- 5 5 5 ----- = ----- = - ---- 3 - 3 3
The first and the last are prefered.
Use Parenthises To Simiplify The Expression
Rewrite problem with parentheses before you begin.
Add or Subtract Fractions
To Add Fractions:
1st: Factor each denominator writing the factors below the denominator.
2nd: Use
Common Factors First Method
or
One Fraction At-A-Time Method
for finding a common denominator.
Alt. 2nd: Use these factors to create the common denominator by listing the factor of each denominator that are not duplicated in another fraction.
"I have ...", "I need ... "
3rd: Recopy numerators leaving "holes" with parenthesis
4th: Rewrite the numerator with missing factors to create equivalent fractions.
"I have ...", "I need ... "
5th: Simplify numerator (top of fraction).
6th: Factor the numerator if possible.
7th: Reduce the fraction if possilbe.
Add these fractions.
1st: Factor each denominator writing the factors below the denominator.
2nd: Use these factors to create the common denominator by listing the factor of each denominator that are not duplicated in another fraction.
"I have ...", "I need ... "
3rd: Recopy numerators leaving "holes" with parenthesis
(x - 2) becomes (x - 2)( )
4th: Rewrite the numerator with missing factors to create equivalent fractions.
"I have ...", "I need ... "
5th: Simplify numerator (top of fraction).
6th: Factor the numerator if possible.
7th: Reduce the fraction if possilbe.
Divide Fractions
To Divide Fractions:.
1st: Copy the first fraction.
2nd: Change the divide to multiply and flip, invert, the second fraction.
3rd: Factor.
4th: Reduce.
5th: Multiply straight across the top.
Multiply numerators.
6th: Multiply straight across the bottom.
Multiply denominators.
7th: Reduce the fraction if possilbe
Divide as indicated.
1st: Copy the first fraction.
2nd: Change the divide to multiply and flip, invert, the second fraction.
3rd: Factor.
4th: Reduce.
5th: Multiply straight across the top.
Multiply numerators.
6th: Multiply straight across the bottom.
Multiply denominators.
7th: Reduce the fraction if possilbe
Some Problems & Answers
Simplify. Click on the problem to see the answer.
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