56c+34=1112

Combine 56 and c.

5c6+34=1112

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.

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.

Multiply -3 by 3.

5c6=11-912

Subtract 9 from 11.

5c6=212

5c6=212

Cancel the common factor of 2 and 12.

Factor 2 out of 2.

5c6=2(1)12

Cancel the common factors.

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 in 5c=1 by 5.

5c5=15

Cancel the common factor of 5.

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