Solve the proportion 5/3c equals 1/6

First we want to cross multiply. 5 * 6 = 3c * 1

Then simplify it down and multiply 5 * 6

30 = 3c * 1

Now re-order the terms so we have an easier time multiplying!

30 = 3 * 1c

Multiply 3 by 1

30 = 3c

Now we want to solve for the variable c so we want to move all terms that have c to the left and all other terms to the right.

Lets start by adding - 3c to each side of the equation.

30 + - 3c = 3c + - 3c

Combine our like terms ...

30 + - 3c = 0

Now add - 30 to each side of the equation

30 + - 30 + - 3c = 0 + - 30

Combine like terms again.

0 + - 3c = 0 + - 30

-3c = 0 + - 30

Like terms.

-3c = - 30

Now simply divide both sides by - 3.

-3c/3 = - 30/-3

This gives us 10. Therefore c = 10.