Which of the following is correct?
Statement I: The sum of two mixed fractions can always be expressed as a mixed fraction.
Statement II: Subtracting a smaller mixed fraction from a larger mixed fraction always results in a proper fraction.
Show answer & explanation
Correct answer: D
Explanation
Given:
The truthfulness of Statement I and Statement II is to be verified.
Statement I:
The sum of two mixed fractions is not always a mixed fraction.
Example:
1 1/2 + 2 1/2 = 4
This is a whole number, not a mixed fraction.
Therefore, Statement I is false.
Statement II: Subtracting a smaller mixed fraction from a larger mixed fraction does not always result in a proper fraction.
Example:
5 1/2 − 2 1/2 = 3
This is a whole number, not a proper fraction.
Therefore, Statement II is false.