Multiply 5/6 by 2 3/4. Convert the product to be a mixed number.
To multiply the fractions 5/6 and 2 3/4, 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), and then add the numerator (3). This gives us (2 * 4) + 3 = 8 + 3 = 11.
Therefore, 2 3/4 can be written as the improper fraction 11/4.
Now we can multiply the fractions:
(5/6) * (11/4) = (5 * 11) / (6 * 4) = 55/24.
To convert the improper fraction 55/24 into a mixed number, we divide the numerator (55) by the denominator (24).
We find that 55 divided by 24 is 2 with a remainder of 7.
Thus, the mixed number is 2 7/24.