Find 10 rational numbers between 1/4 and 1/3.
First, convert the fractions to a common denominator between 4 and 3. The least common denominator (LCD) is 12
$\frac{1}{4}= \frac{3}{12}$
$\frac{1}{3}= \frac{4}{12}$
Now, take fractions with a denominator of 120 (since it's a multiple of 12 and allows for more precision) that lie between $\frac{3}{12}$ and $\frac{4}{12}$ are
$\frac{31}{120}, \frac{32}{120}, \frac{33}{120}, \frac{34}{120}, \frac{35}{120}, \frac{36}{120}, \frac{37}{120}, \frac{38}{120}, \frac{39}{120}, \frac{40}{120}$