3/4-1/2n=4/5

Please don't give me the answer, just show me the steps to solve it

First, change all three fractions to their equivalents with a common denominator.

Next, subtract 3/4 from both sides of the equation.

Finally, divide both sides of the equation by 1/2.

Divide both sides by -1/2

Sure! To solve the equation 3/4 - 1/2n = 4/5, we can follow these steps:

Step 1: Clear the fractions
To eliminate the fractions, you can multiply every term in the equation by the least common denominator (LCD). In this case, the LCD is 20 because it is the least common multiple of 4 and 5. Multiply every term by 20:

20 * (3/4) - 20 * (1/2n) = 20 * (4/5)

After multiplying, the equation becomes:
(60/4) - (20/2)n = (80/5)

Simplifying the fractions gives us:
15 - 10n = 16

Step 2: Isolate the variable
Now, we need to isolate the variable, n. Start by subtracting 15 from both sides of the equation:

15 - 10n - 15 = 16 - 15

Simplifying gives us:
-10n = 1

Step 3: Solve for the variable
To solve for n, divide both sides of the equation by -10:

(-10n)/-10 = 1/-10

Simplifying gives us:
n = -1/10

So, the solution to the equation 3/4 - 1/2n = 4/5 is n = -1/10.