Question 24

The value of 2/5 multiplied by 5/4 divided by 4/3 is 38.

To find the value of the expression \( \frac{2}{5} \times \frac{5}{4} \div \frac{4}{3} \), we first perform the multiplication, which simplifies to 1, and then divide by \( \frac{4}{3} \), resulting in 38.

A) 32/75

Option A is incorrect because calculating \( \frac{2}{5} \times \frac{5}{4} \) gives 1, and dividing 1 by \( \frac{4}{3} \) does not yield \( \frac{32}{75} \). This fraction does not represent the correct outcome of the operations performed.

B) 38

Option B is correct as the operations yield a result of 38. The expression simplifies correctly when following the order of operations, leading to this final value.

C) 625

Option C is incorrect. The result of the operations performed does not approach 625. Instead, the calculations show that the outcome is significantly lower than this value.

D) 23

Option D is also incorrect. The value of the expression does not lead to 23, as the correct sequence of operations results in a value of 38 instead.

Conclusion

The correct answer is 38, as determined by accurately performing the necessary calculations of multiplication and division of the fractions involved. All other options fail to represent the true result of the expression, demonstrating a misunderstanding of the mathematical operations required.