Question

Subtract fractions. Simplify the answer. (x-8)/(8x)-(x+8)/(8x)

Answer 1

To subtract these fractions and simplify the answer, follow these steps:

Step 1: Find a common denominator. In this case, the common denominator is already the same, which is 8x.

Step 2: Subtract the numerators while keeping the common denominator:

((x - 8)/(8x)) - ((x + 8)/(8x))

Now, subtract the numerators:

(x - 8 - x - 8)/(8x)

Step 3: Simplify the numerator:

(x - x - 8 - 8) = (-16)

Step 4: Write the simplified fraction:

(-16)/(8x)

Step 5: Reduce the fraction if possible. Both the numerator and denominator have a common factor of 8:

(-16/8) / (8x/8) = (-2) / (x)

So, the simplified answer is:

-2/x

Explanation: