Solve for n
N/5 + n/4= 1/2
Major hint:
multiply each term by 20 , the LCD
N/5 + n/4= 1/2
First, treat n/5 and n/4 as you would fractions. If you don't know how to add fractions with unlike denominators, you are out of luck here.
n x 4 / 5 x 4 + n x 5 / 4 x 5
4n / 20 + 5n /20 = 9n/20
9n/20 = 1/2 Solve for n
20 * 9n/20 = 1/2* 20
9 n = 10
9 9
n = 10/9 or 1.1
To solve for n in the equation (N/5) + (n/4) = 1/2, we will start by finding a common denominator for the fractions on the left-hand side.
The least common multiple (LCM) of 5 and 4 is 20. Multiplying the equation by 20 on both sides will allow us to eliminate the denominators.
20 * (N/5) + 20 * (n/4) = 20 * (1/2)
After cancelling out the denominators on the left side, we have:
4N + 5n = 10
Now, to isolate the variable n, we need to move the term with N to the right side of the equation. Let's subtract 4N from both sides:
4N + 5n - 4N = 10 - 4N
Simplifying the left side further:
5n = 10 - 4N
Finally, to solve for n, divide both sides of the equation by 5:
n = (10 - 4N) / 5
Therefore, the value of n can be represented by (10 - 4N) / 5.