Multiply 5/6 by 2 3/4 . Convert the product to be a mixed number.
To multiply the two fractions 5/6 and 2 3/4, we can first convert the mixed number 2 3/4 into an improper fraction.
To convert 2 3/4 into an improper fraction, we multiply the whole number (2) by the denominator (4) and add the numerator (3). Then, we write the sum as the numerator over the denominator.
2 3/4 = (2 * 4 + 3) / 4 = 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). The quotient will be the whole number part of the mixed number.
55 รท 24 = 2 remainder 7
The quotient is 2, and the remainder is 7. So, the mixed number is 2 7/24.