could you explain to me how to figure this out? n + n/3 = 1/2?? step-by-step??
4/3 n = 1/2
Multiply both sides by 3/4 to get n.
where do you get the 3/4 from?
n + n/3 = (4/3)n
Of course! I can certainly explain how to solve the equation step-by-step. Here's how you can figure it out:
Step 1: Start with the equation: n + n/3 = 1/2.
Step 2: To simplify the equation, let's get rid of the fraction by multiplying every term in the equation by a common denominator. In this case, the common denominator is 3. Multiply both sides of the equation by 3 to eliminate the fraction:
3 * (n + n/3) = 3 * (1/2).
After simplifying, the equation becomes:
3n + n = 3/2.
Step 3: Combine like terms on the left side of the equation. The left side has two terms with "n", so we can add them together:
4n = 3/2.
Step 4: Now, isolate the variable "n" by dividing both sides of the equation by the coefficient of n. In this case, the coefficient of n is 4:
(4n)/4 = (3/2)/4.
This simplifies to:
n = 3/8.
So, the solution to the equation n + n/3 = 1/2 is n = 3/8.
You can always verify your answer by substituting the value of n back into the original equation.