Question

Choose the correct values of $a$ and $b$ represented on the number line below.

• A. $a=\frac{2}{7},b=\frac{6}{7}$
• B. $a=\frac{1}{6},b=\frac{5}{6}$
• C. $a=\frac{2}{6},b=\frac{6}{6}$
• D. $a=\frac{1}{7},b=\frac{5}{7}$

Answer 1

The correct option is D $a=\frac{1}{7},b=\frac{5}{7}$

Here, the number line is divided from 0 to 1 in 7 equal parts.

$a$ is the 1${}^{st}$ division starting from left, so, it will be represented as $\frac{1}{7}.$

$b$ is the 5${}^{th}$ division starting from left, so, it will be represented as $\frac{5}{7}.$

$\therefore a=\frac{1}{7},b=\frac{5}{7}$