Multiply 5/6 by 2 3/4. Convert the product to be a mixed number. (1 point)
To multiply 5/6 by 2 3/4, we first need to convert the mixed number 2 3/4 to an improper fraction.
To do this, we multiply the whole number (2) by the denominator (4) and add the numerator (3) to get the new numerator.
2 * 4 + 3 = 8 + 3 = 11
So 2 3/4 is equivalent to (4 * 2 + 3)/4 = 11/4.
Now that we have the improper fraction 11/4 and the fraction 5/6, we can multiply them together.
(5/6) * (11/4) = (5 * 11) / (6 * 4) = 55/24.
To convert this fraction back to a mixed number, we need to divide the numerator (55) by the denominator (24).
55 รท 24 = 2 with a remainder of 7.
Therefore, the mixed number is 2 7/24.