Subtract 5/6 - 3/4.
Subtracting 5/6 - 3/4 results in 1/12.
To find the result of the subtraction, we first convert both fractions to a common denominator, which is 12. Rewriting 5/6 as 10/12 and 3/4 as 9/12 allows us to perform the operation: 10/12 - 9/12 = 1/12.
This choice represents a value that is too high. When subtracting 5/6 from 3/4, the result is not a half but a significantly smaller fraction. In fact, 1/2 is equivalent to 6/12, which is greater than the correct answer of 1/12.
This is the correct answer. By converting both fractions to a common denominator and performing the subtraction, we arrive at 1/12 as the correct result, reflecting the precise difference between the two fractions.
While 2/24 simplifies to 1/12, this choice does not directly represent the result of the operation. It is an equivalent fraction of the correct answer but does not reflect the direct computation of the subtraction of the two given fractions.
This choice is incorrect as it suggests that the difference between 5/6 and 3/4 is a whole number. However, the subtraction yields a fractional result, specifically 1/12, which is far less than 1.
The operation of subtracting 5/6 and 3/4 accurately results in 1/12, confirmed through the process of finding a common denominator and simplifying the fractions. Incorrect options either misinterpret the subtraction or suggest whole numbers, which do not align with the actual outcome of the calculation. Understanding fraction subtraction is crucial to obtaining the correct result, which in this case is 1/12.
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