Multiply 4/9 x 1 4/5 x 2/5

Rationale

8/25

To find the product of the fractions 4/9, 1 4/5, and 2/5, we first convert the mixed number 1 4/5 into an improper fraction, which gives us 9/5. The multiplication of these fractions leads us to the final answer of 8/25.

A (8/25) CORRECT

This choice is the result of multiplying the fractions:
(4/9) x (9/5) x (2/5).
Calculating this step by step:
First, 4/9 multiplied by 9/5 equals 4/5.
Then, 4/5 multiplied by 2/5 results in 8/25. Thus, this is the correct answer.

B (1 & 10/19) YOUR ANSWER

This choice is incorrect; it suggests a result greater than 1. The multiplication of the given fractions results in a value less than 1. The presence of a mixed number here indicates a misunderstanding of the multiplication process, as the product should remain a simple fraction.

C (7/16) YOUR ANSWER

This fraction does not accurately result from the multiplication of the three fractions. The calculation yields a much smaller fraction, indicating that the operations were not performed correctly. The incorrect fraction suggests a significant error in the multiplication process.

D (1 & 32/45) YOUR ANSWER

This choice is also incorrect, as it implies a value greater than 1. The product of the fractions is less than 1, and this option reflects an inaccurate assessment of the multiplication process. It demonstrates confusion with the operations involved.

Conclusion

The multiplication of the fractions 4/9, 1 4/5, and 2/5 accurately simplifies to 8/25. This process emphasizes the importance of correctly converting mixed numbers to improper fractions and accurately performing multiplication. The incorrect options fail to reflect the proper outcome of the calculations, reinforcing the significance of careful arithmetic operations.

Multiply 4/9 x 1 4/5 x 2/5

8/25

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