Question 24

Subtracting 5/6 and 3/4 results in 1/12.

To subtract the fractions 5/6 and 3/4, we first need to find a common denominator. The least common multiple of 6 and 4 is 12. Rewriting the fractions with this common denominator leads us to the result of 1/12.

A) 1/2

This option is incorrect because 1/2 does not accurately represent the difference between 5/6 and 3/4. Upon calculation, 5/6 - 3/4 yields a smaller fraction than 1/2, which is not the result of this subtraction.

B) 1/12

This is the correct answer. When we convert both fractions to have a common denominator of 12, 5/6 becomes 10/12 and 3/4 becomes 9/12. Subtracting these gives us 10/12 - 9/12 = 1/12, confirming that this option is correct.

C) 2/24

This option is incorrect. Although 2/24 simplifies to 1/12, which is the correct answer, it is not the direct result of the subtraction. It is essential to provide the simplest form in the context of this problem.

D) 1

This option is incorrect as the result of subtracting two fractions cannot yield a whole number. Since 5/6 and 3/4 are both less than 1, their difference must also be less than 1, ruling out this option.

Conclusion

The correct answer is 1/12, as the calculation shows that the difference between 5/6 and 3/4 simplifies to this fraction. Other options either misrepresent the result or fail to follow the arithmetic process required for the subtraction of these two fractions. Thus, 1/12 is not only accurate but also represents the simplest form of the computed difference.