Multiply 4/5 by 7 1/3. Convert the product to be a mixed number.
To multiply 4/5 by 7 1/3, we first need to convert the mixed number 7 1/3 into an improper fraction.
To convert 7 1/3 to an improper fraction, we multiply the whole number, 7, by the denominator of the fraction, 3, and then add the numerator, 1. This gives us (7 * 3) + 1 = 21 + 1 = 22.
The improper fraction equivalent of 7 1/3 is 22/3.
Now, to multiply 4/5 by 22/3, we multiply the numerators and denominators:
(4 * 22)/(5 * 3) = 88/15
To convert the product, 88/15, into a mixed number, we divide the numerator by the denominator.
Dividing 88 by 15 gives us a quotient of 5 with a remainder of 13.
Therefore, the product of 4/5 and 7 1/3 is 5 13/15 as a mixed number.