Final answer:
The expression (6)/(5x) + (7)/(4x) can be combined by finding a common denominator, which is 20x. After adjusting each fraction to have a common denominator, the numerators are added, resulting in a simplified form of (59)/(20x).
Step-by-step explanation:
The question provided is solving a fraction expression and expressing it in a simplified form. Specifically, we are asked to solve the expression (6)/(5x) + (7)/(4x). To combine two fractions, a common denominator is required. In this instance, the least common denominator (LCD) for 5x and 4x is 20x. Multiply the numerator and denominator of each fraction by the appropriate factor to achieve the LCD in each fraction. First fraction, after finding the LCD, will be transformed as follows: (6)/(5x) becomes (6 * 4)/(5x * 4) which simplifies to (24)/(20x). Second fraction will be: (7)/(4x) becomes (7 * 5)/(4x * 5) simplifying to (35)/(20x). Now that we have the same denominators, we simply add the numerators together. Combining the fractions gives us (24 + 35)/(20x) which is equal to (59)/(20x). This is the simplified form of the given expression.