Question

Add: (4)/(9ux^3) + (5)/(12u^2x). Simplify your answer as much as possible.

Answer 1

To add fractions, we find a common denominator and rewrite each fraction accordingly. Then, we add the fractions together. The final answer is (48u^2x + 45u^3x^3)/(108u^3x^4).

Step-by-step explanation:

To add the fractions (4)/(9ux^3) and (5)/(12u^2x), we need to find a common denominator. The common denominator is the product of the denominators, which is 9ux^3 * 12u^2x = 108u^3x^4. We then rewrite each fraction so that they have the same denominator:

(4)/(9ux^3) = (48u^2x)/(108u^3x^4)

(5)/(12u^2x) = (45u^3x^3)/(108u^3x^4)

Adding the fractions together, we get:

(48u^2x + 45u^3x^3)/(108u^3x^4)

This cannot be simplified any further, so the final answer is:

(48u^2x + 45u^3x^3)/(108u^3x^4)