multiply 5/6 by 2 3/4 convert it to a mixed number

Answer 1

To multiply 5/6 by 2 3/4, we first convert the mixed number 2 3/4 to an improper fraction.

2 3/4 can be written as (2 * 4 + 3)/4 = 11/4.

Now, we multiply 5/6 by 11/4:

(5/6) * (11/4) = (5 * 11) / (6 * 4) = 55/24

To convert this fraction into a mixed number, we divide the numerator (55) by the denominator (24):

55 divided by 24 gives us a quotient of 2 and a remainder of 7.

Therefore, the mixed number is 2 7/24.