Finite Math Examples

Simplify (1-(2x)/y)/(1/x+x/y)
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
Move the leading negative in into the numerator.
Step 3.1.2
Factor out of .
Step 3.1.3
Cancel the common factor.
Step 3.1.4
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 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
Multiply by .