Answer: 14 and 5/8
Step-by-step explanation: To multiply a mixed number by a mixed number, we first need to write the mixed numbers as improper fractions.
Remember, we can write a mixed number as an improper fraction by multiplying the denominator by the whole number and then add the numerator. We will then put this numerator over our original denominator.
In this case, we can rewrite 3 and 3/8 as 27/8 and we can write 4 and 1/3 as the improper fraction 13/3.
Now, we have 27/8 × 13/3.
To multiply these fractions, we simply multiply across the numerators and multiply across the denominators.
27 × 13 = 351
8 × 3 = 24
Now, we have our fraction 351/24. The fraction 351/24 can be reduced by dividing both the numerator and denominator by 3.
351 ÷ 3 = 117
24 ÷ 3 = 8
Finally, we need to change 117/8 into a mixed number. To convert 117/8 to an improper fraction, we will use long division with remainders. We need to divide our numerator by our denominator.
117 ÷ 8 = 14 with a remainder of 5. We can put 14 as our whole number and our reminder which is 5 as the numerator of the fraction over our original denominator which is 8.
Therefore, 3 and 3/8 × 4 and 1/3 = 14 and 5/8.
