Final answer:
To write each fraction with the LCM of the denominators, factor the quadratic denominators, determine the LCM, and rewrite each fraction using this common denominator by following rules of exponentials division and multiplication of fractions.
This correct answer is none of the above.
Step-by-step explanation:
The student has requested to write each given fraction in terms of the LCM of the denominators.
To solve these mathematics problems, the first step is to factor each of the quadratic denominators, find the LCM of the resulting factors, and then write each fraction with the LCM as the new denominator.
For example, if we consider the fraction (3x) / (2x2 - x - 10), we would need to factor the quadratic expression in the denominator and then perform the appropriate algebraic manipulations to express the fraction with the LCM as the denominator.
Similarly, we would repeat this process for the other fractions given.
It's important to remember the rules of exponentials division wherein one subtracts the exponents when dividing terms with the same base and also when multiplying fractions, you multiply the numerators and denominators respectively, simplifying if possible.
This correct answer is none of the above.