Question 3

3 9/10

To find the result of the subtraction 7 7/10 - 3 4/5, we convert both mixed numbers to improper fractions. This results in 77/10 - 19/5. Adjusting the second fraction to have a common denominator gives us 77/10 - 38/10, which equals 39/10 or 3 9/10.

A) 4 1/10

This option is incorrect because the result of the subtraction is not equal to 4 1/10. If we convert 39/10 to a mixed number, it simplifies to 3 9/10, indicating that this choice does not reflect the correct calculation.

B) 11 1/2

This option is also incorrect. The value 11 1/2 exceeds the original numbers being subtracted, making it impossible for it to be the correct answer. The subtraction of two mixed numbers, each less than 8, cannot yield a result greater than 8.

C) 4 3/5

While 4 3/5 is a valid fraction, it is not the result of the subtraction. This option does not align with the correct calculation of 39/10, which simplifies to 3 9/10, thus confirming that this option is incorrect.

D) 3 9/10

This is the correct answer. The calculation of 7 7/10 - 3 4/5 simplifies to 39/10, which can be expressed as the mixed number 3 9/10. This accurately represents the difference between the two mixed numbers.

Conclusion

The correct answer is 3 9/10 because it accurately reflects the result of the subtraction when both mixed numbers are properly converted and calculated. All other options fail to represent the correct answer, either by being too high or not aligning with the proper arithmetic process.