Subtract: 9/12 - 3/12
Subtracting 9/12 - 3/12 results in 1/2.
To perform the subtraction of the fractions, you subtract the numerators while keeping the denominator the same. Therefore, 9 - 3 equals 6, and the denominator remains 12, leading to the fraction 6/12, which simplifies to 1/2.
This choice represents a fraction that is less than 1/2. To simplify, 1/3 would equate to 4/12 when expressed with a common denominator of 12. Since 6/12 (the result of the subtraction) is greater than 4/12, this answer is incorrect.
This is the correct choice. Upon simplifying 6/12, you divide both the numerator and the denominator by 6, resulting in 1/2. This matches the expected outcome of the subtraction problem.
1/4 is equivalent to 3/12 when expressed with a denominator of 12. Since 6/12 is greater than 3/12, this choice does not correctly represent the result of the subtraction, which is greater than 1/4.
This choice represents a fraction that is significantly less than the result of the subtraction. When expressed with a denominator of 12, 1/6 equals 2/12, which is much smaller than 6/12, making this choice incorrect.
The subtraction of 9/12 and 3/12 accurately yields 1/2, as derived through straightforward fraction subtraction. The other options do not match the calculated result of 6/12, illustrating the importance of carefully simplifying fractions to determine correct answers in arithmetic operations.
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