Multiply 5/6 by 2 3/4 . Convert the product to be a mixed number
To multiply 5/6 by 2 3/4, we can first convert 2 3/4 to an improper fraction. To do this, we multiply the whole number, 2, by the denominator of the fractional part, 4, and then add the numerator of the fractional part, 3. This gives us (2 * 4) + 3 = 8 + 3 = 11. Therefore, 2 3/4 as an improper fraction is 11/4.
Next, we can multiply 5/6 by 11/4. To multiply fractions, multiply the numerators together and the denominators together. This gives us (5 * 11) / (6 * 4) = 55/24.
To convert this improper fraction to a mixed number, we can divide the numerator, 55, by the denominator, 24. The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fractional part.
When we divide 55 by 24, we get a quotient of 2 and a remainder of 7. So the mixed number is 2 7/24.