Question

Which of the following fractions lie between $\frac{2}{6}$ and $\frac{5}{6}$ on the number line?

• A. $\frac{1}{2}$
• B. $\frac{1}{6}$
• C. $\frac{20}{12}$
• D. $\frac{9}{6}$

Answer 1

The correct option is A $\frac{1}{2}$

Converting the fractions in options into equivalent fractions with denominator 6, we have

​$\frac{1\times 3}{2\times 3}=\frac{3}{6}$

$\frac{1\times 1}{6\times 1}=\frac{1}{6}$

​$\frac{20÷2}{12÷2}=\frac{10}{6}$

​$\frac{9\times 1}{6\times 1}=\frac{9}{6}$

Since $2<3<5$, we have $\frac{2}{6}<\frac{3}{6}<\frac{5}{6}$
i.e., $\frac{2}{6}<\frac{1}{2}<\frac{5}{6}$

Thus, $\frac{1}{2}$ lies between $\frac{2}{6}$ and $\frac{5}{6}$.