Multiply 4/5 by 7 1/3. Convert the product to a mixed number.
To multiply 4/5 by 7 1/3, first, we change the mixed number 7 1/3 to an improper fraction.
To do this, we multiply the whole number (7) by the denominator of the fraction (3), then add the numerator (1).
7 × 3 = 21
21 + 1 = 22
So, 7 1/3 as an improper fraction is 22/3.
Now, we can multiply 4/5 by 22/3:
(4/5) × (22/3) = (4 × 22) / (5 × 3) = 88/15
To write 88/15 as a mixed number, we divide the numerator (88) by the denominator (15), and write the quotient as the whole number.
88 ÷ 15 = 5 remainder 13
Therefore, the mixed number is 5 13/15.