Multiply 2⅓ by 2 1/5. Convert the product to be a mixed number. (1 point)
To multiply 2⅓ by 2 1/5, we first convert both mixed numbers to improper fractions.
2⅓ can be written as (6/3) + 2/3 = 8/3.
2 1/5 can be written as (10/5) + 1/5 = 11/5.
Now we can multiply 8/3 by 11/5:
(8/3) * (11/5) = (8*11) / (3*5) = 88/15.
To convert this improper fraction to a mixed number, we divide the numerator (88) by the denominator (15):
88 ÷ 15 = 5 with a remainder of 13.
So the mixed number representation of 88/15 is 5 13/15.
Therefore, the product of 2⅓ and 2 1/5 is 5 13/15.