Pre-Algebra Examples

Add 2a^2b-5/2ab^2+7/12ab^2+5/6a^2b
Step 1
Simplify each term.
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Step 1.1
Multiply .
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Step 1.1.1
Combine and .
Step 1.1.2
Combine and .
Step 1.2
Move to the left of .
Step 1.3
Multiply .
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Step 1.3.1
Combine and .
Step 1.3.2
Combine and .
Step 1.4
Move to the left of .
Step 1.5
Multiply .
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Step 1.5.1
Combine and .
Step 1.5.2
Combine and .
Step 1.6
Move to the left of .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Simplify terms.
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Step 3.1
Combine and .
Step 3.2
Combine the numerators over the common denominator.
Step 4
Simplify each term.
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Step 4.1
Simplify the numerator.
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Step 4.1.1
Factor out of .
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Step 4.1.1.1
Factor out of .
Step 4.1.1.2
Factor out of .
Step 4.1.1.3
Factor out of .
Step 4.1.2
Multiply by .
Step 4.1.3
Add and .
Step 4.2
Move to the left of .
Step 5
Add and .
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Step 5.1
Move .
Step 5.2
To write as a fraction with a common denominator, multiply by .
Step 5.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 5.3.1
Multiply by .
Step 5.3.2
Multiply by .
Step 5.4
Combine the numerators over the common denominator.
Step 6
Simplify each term.
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Step 6.1
Simplify the numerator.
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Step 6.1.1
Factor out of .
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Step 6.1.1.1
Factor out of .
Step 6.1.1.2
Factor out of .
Step 6.1.1.3
Factor out of .
Step 6.1.2
Multiply by .
Step 6.1.3
Add and .
Step 6.2
Move to the left of .
Step 6.3
Move the negative in front of the fraction.