Find the product.

8 and two-fifths × 5 and one-half
A. 46 one-fifth
B. 40 one-fifth
C. 40
D. 40 start fraction 2 over 5 end fraction

1 answer

To multiply mixed numbers like these, we need to convert them to improper fractions and then multiply. Here are the steps:

1. Convert the mixed numbers to improper fractions:
8 and two-fifths = 8 + 2/5 = (8x5 + 2)/5 = 42/5
5 and one-half = 5 + 1/2 = (5x2 + 1)/2 = 11/2

2. Multiply the two fractions:
42/5 × 11/2 = 462/10 = 231/5

3. Convert the result back to a mixed number:
231/5 = 46 and 1/5

Therefore, the answer is A. 46 one-fifth.