Number Line Problem: Identify Missing Points Between 0 and 1

Count the total number of equal intervals from 0 to 1. In this problem, there are 7 points total (including 0 and 1), which means 6 intervals, but since we need 7 equal parts to place all points, the denominator is 7.

The question marks show the missing fractions you need to identify. Look at the pattern of known points and fill in the gaps systematically.

Start from 0 and count up: $\frac{0}{7}, \frac{1}{7}, \frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}, \frac{7}{7}$. The positions with question marks correspond to $\frac{2}{7}$ and $\frac{5}{7}$.

Double-check by verifying the endpoints! The first point should be $\frac{0}{n} = 0$ and the last should be $\frac{n}{n} = 1$. If your denominator doesn't make this work, recount the intervals.

While you could convert to decimals, fractions show the exact relationship to the whole. Plus, the answer choices are given as fractions, so it's better to work with fractions throughout.