Basic Math Examples

Simplify (b/(b+2)+1/(3b))/(b/(6b+12)+2/b)
Step 1
Multiply the numerator and denominator of the fraction by .
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Step 1.1
Multiply by .
Step 1.2
Combine.
Step 2
Apply the distributive property.
Step 3
Simplify by cancelling.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Cancel the common factor.
Step 3.1.3
Rewrite the expression.
Step 3.2
Raise to the power of .
Step 3.3
Raise to the power of .
Step 3.4
Use the power rule to combine exponents.
Step 3.5
Add and .
Step 3.6
Cancel the common factor of .
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Step 3.6.1
Factor out of .
Step 3.6.2
Cancel the common factor.
Step 3.6.3
Rewrite the expression.
Step 3.7
Cancel the common factor of .
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Step 3.7.1
Factor out of .
Step 3.7.2
Cancel the common factor.
Step 3.7.3
Rewrite the expression.
Step 3.8
Raise to the power of .
Step 3.9
Raise to the power of .
Step 3.10
Use the power rule to combine exponents.
Step 3.11
Add and .
Step 3.12
Cancel the common factor of .
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Step 3.12.1
Factor out of .
Step 3.12.2
Cancel the common factor.
Step 3.12.3
Rewrite the expression.
Step 3.13
Multiply by .
Step 4
Simplify the numerator.
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Step 4.1
Factor out of .
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Step 4.1.1
Factor out of .
Step 4.1.2
Factor out of .
Step 4.1.3
Factor out of .
Step 4.2
Factor out of .
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Step 4.2.1
Factor out of .
Step 4.2.2
Factor out of .
Step 4.2.3
Factor out of .
Step 5
Simplify the denominator.
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Step 5.1
Factor out of .
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Step 5.1.1
Factor out of .
Step 5.1.2
Factor out of .
Step 5.1.3
Factor out of .
Step 5.2
Apply the distributive property.
Step 5.3
Multiply by .
Step 5.4
Multiply by .
Step 6
Reduce the expression by cancelling the common factors.
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Step 6.1
Cancel the common factor of and .
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Step 6.1.1
Factor out of .
Step 6.1.2
Cancel the common factors.
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Step 6.1.2.1
Factor out of .
Step 6.1.2.2
Cancel the common factor.
Step 6.1.2.3
Rewrite the expression.
Step 6.2
Cancel the common factor of .
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Step 6.2.1
Cancel the common factor.
Step 6.2.2
Rewrite the expression.