Divide: 4 2/3 · 2 3/4 =

Rationale

1 23/33 is the correct result of dividing 4 2/3 by 2 3/4.

To solve the problem, first convert the mixed numbers into improper fractions. Then, divide the first fraction by the second and simplify the result to get the final answer.

A (1 23/33) CORRECT

This choice correctly represents the result of dividing 4 2/3 (which is 14/3) by 2 3/4 (which is 11/4). When you compute (14/3) ÷ (11/4), you multiply by the reciprocal, resulting in (14/3) * (4/11) = 56/33, which converts to 1 23/33.

B (2 8/9) YOUR ANSWER

This option suggests a different result, which does not match the correct calculations. If you were to arrive at this fraction, it would imply an incorrect interpretation or arithmetic mistake in the division process, as the actual result is significantly lower.

C (3 21/3) YOUR ANSWER

This choice also reflects an incorrect answer, as it simplifies to 7. The calculation of dividing the two mixed numbers does not yield a result anywhere near this value, indicating a severe miscalculation in the division.

D (4 23/4) YOUR ANSWER

This selection suggests an even larger result, which is impossible given the values being divided. Dividing 4 2/3 by 2 3/4 cannot produce a quotient greater than the first mixed number, further confirming this option is incorrect.

Conclusion

The correct division of 4 2/3 by 2 3/4 results in 1 23/33, accurately derived through proper fraction conversion and calculation methods. The other options reflect miscalculations or misunderstandings of division principles, emphasizing the importance of careful arithmetic in yielding correct answers.

Divide: 4 2/3 · 2 3/4 =

1 23/33 is the correct result of dividing 4 2/3 by 2 3/4.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test