Basic Math Examples

Simplify 5+(5+1/b)/(1/(b^2)+5/b)
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
Combine the numerators over the common denominator.
Step 3
Simplify each term.
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Step 3.1
Multiply the numerator by the reciprocal of the denominator.
Step 3.2
Simplify the denominator.
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Step 3.2.1
To write as a fraction with a common denominator, multiply by .
Step 3.2.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.2.2.1
Multiply by .
Step 3.2.2.2
Raise to the power of .
Step 3.2.2.3
Raise to the power of .
Step 3.2.2.4
Use the power rule to combine exponents.
Step 3.2.2.5
Add and .
Step 3.2.3
Combine the numerators over the common denominator.
Step 3.3
Multiply the numerator by the reciprocal of the denominator.
Step 3.4
Multiply by .
Step 3.5
Cancel the common factor of .
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Step 3.5.1
Factor out of .
Step 3.5.2
Cancel the common factor.
Step 3.5.3
Rewrite the expression.
Step 3.6
Multiply by .
Step 3.7
Cancel the common factor of and .
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Step 3.7.1
Reorder terms.
Step 3.7.2
Cancel the common factor.
Step 3.7.3
Divide by .