Multiply 2 1/3 by 2 1/5 . Convert the product to be a mixed number.
To multiply 2 1/3 by 2 1/5, we first need to convert the mixed numbers to improper fractions.
2 1/3 can be written as an improper fraction by multiplying the whole number by the denominator of the fraction and adding the numerator:
2 1/3 = (2 * 3 + 1)/3 = 7/3
2 1/5 can be converted in the same way:
2 1/5 = (2 * 5 + 1)/5 = 11/5
Now we multiply the two improper fractions:
(7/3) * (11/5) = (7*11)/(3*5) = 77/15
To convert the product to a mixed number, we divide the numerator (77) by the denominator (15):
77 รท 15 = 5 remainder 2
The quotient is the whole number, and the remainder is the numerator of the fraction. Therefore, the mixed number is:
5 2/15