To solve this problem, we first need to convert the mixed number, 2 3/4, into an improper fraction.
To do this, we multiply the whole number (2) by the denominator of the fraction (4), which gives us 2 x 4 = 8. Then, we add the numerator (3) to get 8 + 3 = 11. So, 2 3/4 can be written as the improper fraction 11/4.
Next, we can multiply the two fractions by multiplying the numerators together (5 x 11 = 55) and multiplying the denominators together (6 x 4 = 24).
The result is 55/24.
To find the simplest form of this fraction, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 1.
So, the simplest form of the fraction 55/24 is 55/24.