Answer to question What is the value of 2/15 divided by 5/12?

Recall the following properties of fractions:
[tex]\begin{gathered} \frac{(\frac{a}{b})}{(\frac{c}{d})}=\frac{ad}{bc}\text{.} \\ \frac{ab}{ac}=bc\text{.} \end{gathered}[/tex]Therefore:
[tex]\frac{\frac{2}{15}}{\frac{5}{12}}=\frac{2\cdot12}{15\cdot5}=\frac{24}{75}=\frac{3\cdot8}{3\cdot25}=\frac{8}{25}\text{.}[/tex]Answer: Second option.