Final answer:
To perform the operation (2)/(x) + (5)/(3x²), we find the least common denominator, rewrite the fractions with this denominator, and combine them, obtaining the simplified form (6x + 5)/(3x²).
Step-by-step explanation:
To perform the indicated operation (2)/(x) + (5)/(3x²), we need to find a common denominator and combine the fractions. First, identify the least common denominator (LCD) which in this case is 3x². Rewrite each fraction with the LCD:
- (2)/(x) becomes (2 · 3x)/(3x²), which simplifies to (6x)/(3x²)
- (5)/(3x²) already has the denominator 3x²
Combining the fractions we get:
(6x)/(3x²) + (5)/(3x²)
Since we have the same denominator, we can combine the numerators:
(6x + 5)/(3x²)
This is the simplified form of the expression.