Question

Write all answers in lowest terms. (4)/(x)+(5)/(x-8)

Answer 1

To add the fractions (4)/(x) and (5)/(x-8) together, rewrite them with a common denominator and simplify the expression.

Step-by-step explanation:

To add the fractions (4)/(x) and (5)/(x-8) together, we need a common denominator. The common denominator is (x)(x-8). So, we rewrite the fractions with this common denominator:

(4)/(x) = (4)(x-8)/(x)(x-8)

(5)/(x-8) = (5)(x)/(x)(x-8)

Now, we can add the fractions:

(4)(x-8)/(x)(x-8) + (5)(x)/(x)(x-8)

To simplify further, we can combine the numerators:

((4)(x-8) + (5)(x))/(x)(x-8)

Expanding and combining like terms gives:

(4x-32+5x)/(x)(x-8)

Next, we can simplify the numerator:

(9x-32)/(x)(x-8)

This is the final answer. If you need any further clarification, feel free to ask!