Solve for h (111)=1/2*(((19)+(181))h)

Math
(111)=12⋅(((19)+(181))h)
Rewrite the equation as 12⋅((19+181)h)=111.
12⋅((19+181)h)=111
Multiply both sides of the equation by 112⋅(19+181).
112⋅(19+181)⋅12⋅((19+181)h)=112⋅(19+181)⋅111
Simplify both sides of the equation.
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Simplify 112⋅(19+181)⋅12⋅((19+181)h).
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Add 19 and 181.
112⋅200⋅12⋅((19+181)h)=112⋅(19+181)⋅111
Combine fractions.
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Combine 12 and 200.
12002⋅12⋅((19+181)h)=112⋅(19+181)⋅111
Divide 200 by 2.
1100⋅12⋅((19+181)h)=112⋅(19+181)⋅111
1100⋅12⋅((19+181)h)=112⋅(19+181)⋅111
Multiply 1100⋅12.
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Multiply 1100 and 12.
1100⋅2⋅((19+181)h)=112⋅(19+181)⋅111
Multiply 100 by 2.
1200⋅((19+181)h)=112⋅(19+181)⋅111
1200⋅((19+181)h)=112⋅(19+181)⋅111
Add 19 and 181.
1200⋅(200h)=112⋅(19+181)⋅111
Cancel the common factor of 200.
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Factor 200 out of 200h.
1200⋅(200(h))=112⋅(19+181)⋅111
Cancel the common factor.
1200⋅(200h)=112⋅(19+181)⋅111
Rewrite the expression.
h=112⋅(19+181)⋅111
h=112⋅(19+181)⋅111
h=112⋅(19+181)⋅111
Simplify 112⋅(19+181)⋅111.
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Add 19 and 181.
h=112⋅200⋅111
Combine fractions.
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Combine 12 and 200.
h=12002⋅111
Divide 200 by 2.
h=1100⋅111
Combine 1100 and 111.
h=111100
h=111100
h=111100
h=111100
The result can be shown in multiple forms.
Exact Form:
h=111100
Decimal Form:
h=1.11
Mixed Number Form:
h=111100
Solve for h (111)=1/2*(((19)+(181))h)

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