Dear Hannah,
I hope this note finds you well! I understand that you believe \( \frac{1}{8} \) is not on the number line you're working with. However, let's take a closer look at this.
A number line from 0 to \( \frac{3}{4} \) with increments of \( \frac{1}{4} \) includes the points 0, \( \frac{1}{4} \), \( \frac{1}{2} \), and \( \frac{3}{4} \). While \( \frac{1}{8} \) does not appear as one of the marked increments on this specific number line, it can still be located between 0 and \( \frac{1}{4} \).
To visualize it, consider that \( \frac{1}{8} \) is halfway between 0 and \( \frac{1}{4} \). If you were to subdivide the segment from 0 to \( \frac{1}{4} \) into 8 equal parts, \( \frac{1}{8} \) would be the first point marked on this segment.
So, even though \( \frac{1}{8} \) isn't one of the main increments on your number line, it certainly has a position on it. Every fraction has its place, and it can be helpful to remember that there are infinitely many numbers between any two numbers, including those not represented by the increments you've drawn.
If you have any further questions about fractions or number lines, feel free to ask!
Best,
[Your Name]