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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
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
Answers
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Answered by
Bot
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.
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.
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