What is the value of 2/5 multiplied by 5/4 divided by 4/3

Rationale

2/5 multiplied by 5/4 divided by 4/3 equals 38.

To solve the expression \( \frac{2}{5} \times \frac{5}{4} \div \frac{4}{3} \), we first multiply \( \frac{2}{5} \) by \( \frac{5}{4} \), resulting in \( \frac{1}{4} \). Then, dividing \( \frac{1}{4} \) by \( \frac{4}{3} \) gives \( \frac{1}{4} \times \frac{3}{4} = \frac{3}{16} \). This fraction, when expressed as a decimal, is 0.1875, which does not correspond to any incorrect answers provided.

A (32/75) YOUR ANSWER

This fraction simplifies to approximately 0.4267, which is not the result of the given mathematical operation. The multiplication and division of the original fractions do not yield this value, so it is incorrect.

B (38) CORRECT

This answer is incorrect. The actual result of the expression is \( \frac{3}{16} \) or 0.1875, not 38. This choice does not reflect the calculation performed.

C (625) YOUR ANSWER

This number is significantly larger than the result of the expression. The multiplication and division of the given fractions will not yield such a high value, making it an invalid option.

D (23) YOUR ANSWER

This number is also incorrect as the result of the operation does not come close to 23. The calculation of \( \frac{2}{5} \times \frac{5}{4} \div \frac{4}{3} \) does not approach this value in any way.

Conclusion

The correct computation of \( \frac{2}{5} \times \frac{5}{4} \div \frac{4}{3} \) leads to a result of \( \frac{3}{16} \), which is approximately 0.1875. All other choices provided do not match the outcome of the calculation and therefore are incorrect. Understanding the order of operations and accurately performing the arithmetic is essential in reaching the correct answer.

What is the value of 2/5 multiplied by 5/4 divided by 4/3

2/5 multiplied by 5/4 divided by 4/3 equals 38.

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