Simplify (1/(7u)-3)/(2+1/(7u))

Math
17u-32+17u
Multiply the numerator and denominator of the complex fraction by 7u.
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Multiply 17u-32+17u by 7u7u.
7u7u⋅17u-32+17u
Combine.
7u(17u-3)7u(2+17u)
7u(17u-3)7u(2+17u)
Apply the distributive property.
7u17u+7u⋅-37u⋅2+7u17u
Simplify by cancelling.
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Cancel the common factor of 7u.
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Cancel the common factor.
7u17u+7u⋅-37u⋅2+7u17u
Rewrite the expression.
1+7u⋅-37u⋅2+7u17u
1+7u⋅-37u⋅2+7u17u
Cancel the common factor of 7u.
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Cancel the common factor.
1+7u⋅-37u⋅2+7u17u
Rewrite the expression.
1+7u⋅-37u⋅2+1
1+7u⋅-37u⋅2+1
1+7u⋅-37u⋅2+1
Multiply.
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Multiply -3 by 7.
1-21u7u⋅2+1
Multiply 2 by 7.
1-21u14u+1
1-21u14u+1
Simplify (1/(7u)-3)/(2+1/(7u))

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