Multiply 5/6 by 2 3/4 . Convert the product to be a mixed number.
To multiply these two fractions, we can first convert them to improper fractions.
5/6 can be converted to an improper fraction by multiplying the denominator (6) by the whole number (5) and adding the numerator (5). The result is 30/6.
2 3/4 can be converted to an improper fraction by multiplying the whole number (2) by the denominator (4), adding the result (8) to the numerator (3), and keeping the denominator the same (4). The result is 11/4.
Now, we can multiply the two improper fractions: (30/6) * (11/4).
To multiply the two fractions, we multiply the numerators (30 * 11) and the denominators (6 * 4):
30 * 11 = 330,
6 * 4 = 24.
Therefore, (30/6) * (11/4) = 330/24.
To convert this improper fraction to a mixed number, we divide the numerator (330) by the denominator (24). The result is 13.
The remainder is 330 - (13 * 24) = 330 - 312 = 18.
So the mixed number is 13 18/24. However, we can simplify it further by dividing the numerator and denominator by their greatest common divisor (GCD), which is 6.
13 ÷ 6 = 2 with a remainder of 1.
18 ÷ 6 = 3.
Therefore, 13 18/24 can be simplified to 2 3/4.
The product of 5/6 and 2 3/4 is 2 3/4.