Solve for c 5/6c+3/4=11/12

Math
56c+34=1112
Combine 56 and c.
5c6+34=1112
Move all terms not containing c to the right side of the equation.
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Subtract 34 from both sides of the equation.
5c6=1112-34
To write -34 as a fraction with a common denominator, multiply by 33.
5c6=1112-34⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 34 and 33.
5c6=1112-3⋅34⋅3
Multiply 4 by 3.
5c6=1112-3⋅312
5c6=1112-3⋅312
Combine the numerators over the common denominator.
5c6=11-3⋅312
Simplify the numerator.
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Multiply -3 by 3.
5c6=11-912
Subtract 9 from 11.
5c6=212
5c6=212
Cancel the common factor of 2 and 12.
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Factor 2 out of 2.
5c6=2(1)12
Cancel the common factors.
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Factor 2 out of 12.
5c6=2⋅12⋅6
Cancel the common factor.
5c6=2⋅12⋅6
Rewrite the expression.
5c6=16
5c6=16
5c6=16
5c6=16
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
5c=1
Divide each term by 5 and simplify.
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Divide each term in 5c=1 by 5.
5c5=15
Cancel the common factor of 5.
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Cancel the common factor.
5c5=15
Divide c by 1.
c=15
c=15
c=15
The result can be shown in multiple forms.
Exact Form:
c=15
Decimal Form:
c=0.2
Solve for c 5/6c+3/4=11/12

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