Question 48

8/25

The result of multiplying \( \frac{4}{9} \times 1 \frac{4}{5} \times \frac{2}{5} \) simplifies to \( \frac{8}{25} \). This demonstrates the accuracy of option A.

A) 8/25

This option is correct as it represents the simplified result of the multiplication of the fractions. When calculated, \( \frac{4}{9} \) is multiplied by \( \frac{9}{5} \) (which is the improper fraction form of \( 1 \frac{4}{5} \)) and then by \( \frac{2}{5} \). The calculation yields \( \frac{8}{25} \).

B) 1 & 10/19

This option is incorrect. The multiplication of the fractions does not yield a mixed number greater than 1. The final result being less than 1 indicates that this option does not fit the outcome of the calculations.

C) 7/16

This option is also incorrect. The result of the multiplication does not match \( \frac{7}{16} \), as the calculations lead to a different value. The fraction \( \frac{7}{16} \) does not accurately represent the product of the given fractions.

D) 1 & 32/45

This option is incorrect for the same reasons as option B. The calculated product does not exceed 1, and therefore cannot be represented as a mixed number. The value \( 1 \frac{32}{45} \) is significantly higher than the actual product.

Conclusion

The correct answer, \( \frac{8}{25} \), accurately reflects the result of the multiplication process. All other options fail to represent the correct product, either by exceeding the value of 1 or not matching the calculated fraction. This reinforces the understanding of fraction multiplication and simplification.