Question

List any 5 fractions that lie between $\frac{1}{8}$ and $\frac{7}{8}$ on the number line.

Answer 1

We need to find fractions of the form $\frac{p}{q}$ such that $\frac{1}{8}<\frac{p}{q}<\frac{7}{8}$.
Since the denominators for $\frac{1}{8}$ and $\frac{7}{8}$ are the same, we can simply find the five fractions between these two to be the ones with their numerators greater than 1 but less than 7.
So, the five fractions are $\frac{2}{8}$, $\frac{3}{8}$, $\frac{4}{8}$, $\frac{5}{8}$, and $\frac{6}{8}$.