What is the result of adding 1/4 + 3/8?
Adding 1/4 and 3/8 results in 5/8.
To add the fractions 1/4 and 3/8, we first need a common denominator. The least common denominator between 4 and 8 is 8. Converting 1/4 to have a denominator of 8 gives us 2/8, allowing us to combine the fractions to yield a sum of 5/8.
This choice is incorrect because the common denominator used for adding 1/4 and 3/8 was not correctly identified. The resulting fractions must be converted using a common denominator, which in this case is 8, not 12. Thus, the calculations leading to 4/12 do not reflect the correct addition of the fractions.
This answer does not arise from the correct addition process since 1/3 is not equivalent to the sum of 1/4 and 3/8. When converting both fractions to a common denominator of 8, the sum clearly exceeds 1/3, indicating that the addition has not been performed correctly.
While 1/2 is a common fraction, it does not represent the sum of 1/4 and 3/8. The calculation shows that the total is greater than 1/2. Specifically, 1/2 is equivalent to 4/8, whereas the actual sum is 5/8, confirming that this choice is incorrect.
The correct result of adding the fractions 1/4 and 3/8 is 5/8. The process involves finding a common denominator, which in this case is 8, allowing the fractions to be added accurately. The other choices fail to represent the correct sum due to improper calculations or incorrect comparisons with common fractions. Understanding how to find a common denominator is essential for accurately adding fractions.
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