Question

Which among the following is NOT a proper fraction?

• A. $\frac{2}{3}$
  
• B. $\frac{29}{31}$
  
• C. $\frac{72}{83}$
  
• D. $\frac{64}{63}$
  

Answer 1

The correct option is D $\frac{64}{63}$


As we know that in a proper fraction, the numerator is less than the denominator. So, let's check the options one-by-one:

$\bullet \underset{–}{\text{(a.)}\frac{2}{3}}$
The numerator, i.e., $2$ is less than the denominator, i.e., $3$. So, $\frac{2}{3}$ is a proper fraction.

$\bullet \underset{–}{\text{(b.)}\frac{29}{31}}$
The numerator, i.e., $29$ is less than the denominator, i.e., $31$. So, $\frac{29}{31}$ is a proper fraction.

$\bullet \underset{–}{\text{(c.)}\frac{72}{83}}$
The numerator, i.e., $72$ is less than the denominator, i.e., $83$. So, $\frac{72}{83}$ is a proper fraction.

$\bullet \underset{–}{\text{(c.)}\frac{64}{63}}$
The numerator, i.e., $64$ is NOT less than the denominator, i.e., $63$. So, $\frac{64}{63}$ is NOT a proper fraction.

Therefore, option (d.) is the correct answer.