Algebra Examples

Simplify (-2/x+5/y)/(3/y-2/x)
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
Cancel the common factor of .
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 3.3
Cancel the common factor of .
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Step 3.3.1
Factor out of .
Step 3.3.2
Cancel the common factor.
Step 3.3.3
Rewrite the expression.
Step 3.4
Cancel the common factor of .
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Step 3.4.1
Move the leading negative in into the numerator.
Step 3.4.2
Factor out of .
Step 3.4.3
Cancel the common factor.
Step 3.4.4
Rewrite the expression.
Step 4
Simplify the numerator.
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Step 4.1
Move to the left of .
Step 4.2
Move to the left of .
Step 5
Simplify the denominator.
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Step 5.1
Move to the left of .
Step 5.2
Move to the left of .
Step 6
Simplify with factoring out.
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Step 6.1
Factor out of .
Step 6.2
Factor out of .
Step 6.3
Factor out of .
Step 6.4
Simplify the expression.
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Step 6.4.1
Rewrite as .
Step 6.4.2
Move the negative in front of the fraction.