Question

The addition of two proper fractions will always be ______ .

• A. a proper fraction
• B. an improper fraction
• C. either a proper or an improper fraction
• D. a natural number

Answer 1

The correct option is C either a proper or an improper fraction

The denominator is always greater than the numerator of a proper fraction. So, value of a proper fraction lies between 0 and 1.
If two given proper fractions are lesser than $\frac{1}{2}$, then the summation will be less than 1, and it will be a proper fraction.
If two given proper fractions are greater than $\frac{1}{2}$, then the summation will be greater than 1, and it will be an improper fraction.
Hence, the addition of two proper fractions will always be either a proper or an improper fraction.