What is 3/4 divided by 2/3?

Rationale

3/4 divided by 2/3 equals 9/8.

To divide fractions, you multiply the first fraction by the reciprocal of the second. Here, 3/4 divided by 2/3 becomes 3/4 multiplied by 3/2, which simplifies to 9/8.

A ({1/2}) YOUR ANSWER

This choice represents an incorrect calculation of the fraction division. If you mistakenly added the fractions or miscalculated the multiplication, you might arrive at 1/2, but it does not reflect the accurate result of 3/4 divided by 2/3.

B ({9/8}) CORRECT

This is the correct answer, as calculated by taking 3/4 and multiplying it by the reciprocal of 2/3, which is 3/2. The multiplication yields (3 * 3) / (4 * 2) = 9/8.

C ({8/9}) YOUR ANSWER

This choice is incorrect as it results from a misunderstanding of the operation. It may arise from mistakenly flipping the fractions or miscalculating the multiplication process, leading to an incorrect fraction representation.

D ([5/12}) YOUR ANSWER

This choice does not correspond to any correct calculation of the division. It appears to be a random fraction that does not relate to the operations performed with 3/4 and 2/3, indicating a fundamental error in approaching the division of these fractions.

Conclusion

The division of the fractions 3/4 by 2/3 results in 9/8, which is derived through the correct method of multiplying by the reciprocal. The other choices reflect common errors in fraction operations or misunderstandings of the division process, emphasizing the importance of correctly applying mathematical principles in fraction division.

What is 3/4 divided by 2/3?

3/4 divided by 2/3 equals 9/8.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test