Solve the equation below. Choose the method you prefer to use.

n/3-5n/6 = 1/3

1 answer

To solve the equation (n/3) - (5n/6) = 1/3, we can use the method of multiplying through by the least common denominator (LCD) to eliminate the fractions.

First, let's find the LCD of the fractions 3 and 6, which is 6.

Now, multiply every term in the equation by 6 to eliminate the fractions:

6 * (n/3) - 6 * (5n/6) = 6 * (1/3)
2n - 5n = 2

Simplifying the equation, we get:

-3n = 2

To solve for n, divide both sides of the equation by -3:

-3n / -3 = 2 / -3
n = -2/3

So, the solution to the equation n/3 - 5n/6 = 1/3 is n = -2/3.