Question

How do you solve `\frac{1}{3} ( r + 6) = \frac{1}{6} ( r + 8)`?

Answer 1

The solution is `r = -4`.

Explanation:

The easiest way to work this problem is to rid yourself of the fractions. Remember that `1/3(r + 6)` is one term and that `1/6(r + 8) is also one term. To rid the equation of the fractions, multiply each side of the equation by the least common denominator of the two fractions. In this case, the LCD is`6#.

`6(1/3)(r + 6) = 6(1/6)(r + 8)`
`2(r + 6) = 1(r + 8)`
`2r + 12 = r + 8`
`2r - r + 12 = r - r + 8`
`r + 12 = 8`
`r + 12 - 12 = 8 - 12`
`r = -4`