Question

Which of the following fraction(s) represent point A on the number line?

• A. $\frac{3}{2}$
• B. $1\frac{4}{8}$
• C. $\frac{1}{2}$
• D. $\frac{5}{2}$

Answer 1

Answer: (A), (B)

The correct options are
A $\frac{3}{2}$
B $1\frac{4}{8}$

Note that the point $A$ lies between the numbers 1 and 2, which indicates that the whole number part of the fraction is 1.

Also note that the segment between 1 and 2 is divided into 8 equal parts.

$A$ lies on the $4^{\text{th}}$ part, which implies that the fractional part is $\frac{4}{8}$.

Thus, the point $A$ corresponds to the mixed fraction $1\frac{4}{8}$, and

$1\frac{4}{8}=\frac{(8\times 1)+4}{8}=\frac{12}{8}=\frac{3}{2}$