n+2/3=1/9
help find common denominator
change the 2/3 to 4/9
subtract 4/9 from each side.
x=-3/9=-1/3
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To solve the equation `n + 2/3 = 1/9`, we'll follow these steps:
Step 1: Isolate the variable
Step 2: Simplify the equation
Step 3: Solve for the variable
Step 1: Isolate the variable
To isolate the variable `n`, we need to get rid of the constant term (2/3) on the left side of the equation. We can do this by subtracting 2/3 from both sides of the equation:
n + 2/3 - 2/3 = 1/9 - 2/3
Simplifying, we have:
n = 1/9 - 2/3
Step 2: Simplify the equation
To perform the subtraction on the right side, we need a common denominator. The least common multiple of 9 and 3 is 9. Let's convert the fractions to have a denominator of 9:
n = (1/9) - (2/3)
Multiplying the numerator and denominator of 1/9 by 1, and the numerator and denominator of 2/3 by 3, we get:
n = (1/9) - (6/9)
Step 3: Solve for the variable
Now we can subtract the fractions with the same denominator (9):
n = -5/9
Therefore, the solution to the equation n + 2/3 = 1/9 is n = -5/9.