Number Line Problem: Identify Missing Points Between 0 and 1

Question

What are the missing numbers (?) on the numer line below?

00:00 Which numbers appear on the number line?

00:08 It seems the line is divided into 7 segments

00:12 And each segment equals one-seventh, let's count them

00:23 Let's mark the required numbers

00:29 And this is the solution to the question

Let's first count how many points, including the number 1, are on the number line.

Since there are 7 in total, we'll define the 0 point as the fraction:

$\frac{0}{7}$

We will also define 1 as the following fraction:

$\frac{7}{7}$

Now let's fill in each point on the line to discover which numbers are missing:

$\frac{2}{7},\frac{5}{7}$