Simplify (1/5*(a+b)+3b-a)/(-a+4/5*(a+b))

Math
Simplify the numerator.
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Apply the distributive property.
Combine and .
Combine and .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Rewrite in a factored form.
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Multiply by .
Multiply by .
Subtract from .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Simplify the denominator.
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Apply the distributive property.
Combine and .
Combine and .
Combine the numerators over the common denominator.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Rewrite in a factored form.
Tap for more steps…
Multiply by .
Apply the distributive property.
Add and .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify (1/5*(a+b)+3b-a)/(-a+4/5*(a+b))
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