Question

Match the following figures to the fractions they represent.

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

Answer 1

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

Similarly, $B$ lies between 2 and 3, with fractional part $\frac{5}{8}$, and thus represents the mixed fraction $2\frac{5}{8}$.
Now, $C$ lies between 0 and 1, and thus is a proper fraction.
Note that $C=\frac{2}{8}=\frac{1}{4}$.