Question 53

1 23/33

The result of dividing 4 2/3 by 2 3/4 is 1 23/33. This fraction represents the simplified form of the division operation performed on the mixed numbers.

A) 1 23/33

This option is correct because when performing the division of the mixed numbers 4 2/3 (which is 14/3) by 2 3/4 (which is 11/4), the calculation yields 14/3 ÷ 11/4 = 14/3 × 4/11 = 56/33. When simplified, 56/33 converts to the mixed number 1 23/33.

B) 2 8/9

This option is incorrect. If we were to consider 2 8/9 (which is 26/9) as a potential answer, it would imply a different result, not aligning with the division of 4 2/3 by 2 3/4. The calculations do not support this outcome.

C) 3 21/3

This option is also incorrect. The fraction 3 21/3 is not a valid mixed number; it is likely a misinterpretation of the expected result. The division operation does not yield a result approximating this value.

D) 4 23/4

This option is incorrect as well. The value of 4 23/4 exceeds the expected range of results from dividing 4 2/3 by 2 3/4. The actual division yields a significantly lower quotient than this option suggests.

Conclusion

The correct answer, 1 23/33, accurately reflects the outcome of dividing the two given mixed numbers. All other options do not correspond to the calculations derived from the division, confirming that they are incorrect and reinforcing the validity of the correct solution.