Question

multiply 5/6 by 2 3/4 convert the product to be a mixed number

Answer 1

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

To do this, multiply the whole number (2) by the denominator (4) and add the numerator (3).
2 × 4 + 3 = 8 + 3 = 11

Next, write the sum (11) as the numerator and keep the denominator (4) the same. So, 2 3/4 is equivalent to 11/4.

Now, we can multiply 5/6 by 11/4.
To multiply fractions, multiply the numerators together and the denominators together.
5/6 × 11/4 = (5 × 11)/(6 × 4) = 55/24.

To convert the improper fraction 55/24 to a mixed number, divide the numerator (55) by the denominator (24).
55 ÷ 24 = 2 remainder 7.

Therefore, the product of 5/6 and 2 3/4 as a mixed number is 2 7/24.