Multiply 5/6 by 2 3/4. Convert the product to be a mixed number.(1 point)
To multiply 5/6 by 2 3/4, we first need to convert both fractions into improper fractions.
5/6 = (6*1 + 5)/6 = 11/6
2 3/4 = (4*2 + 3)/4= 11/4
Now, we can multiply these two fractions together:
(11/6) * (11/4) = (11*11)/(6*4) = 121/24
To convert this improper fraction to a mixed number, we divide the numerator (121) by the denominator (24) and write the remainder as a fraction:
121 ÷ 24 = 5 remainder 1
So, the mixed number is 5 1/24.
wrong
Apologies for the confusion. Let's try to solve it correctly.
To multiply 5/6 by 2 3/4, we can first convert the mixed number to an improper fraction.
2 3/4 = (4 * 2 + 3)/4 = 11/4
Now, we can multiply the fractions:
(5/6) * (11/4) = (5*11)/(6*4) = 55/24
To convert this improper fraction to a mixed number, we divide the numerator (55) by the denominator (24) and write the remainder as a fraction:
55 ÷ 24 = 2 remainder 7
So, the mixed number is 2 7/24.