Question

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

Answer 1

Recall the following properties of fractions:

`\begin{gathered} (((a)/(b)))/(((c)/(d)))=(ad)/(bc)\text{.} \\ (ab)/(ac)=bc\text{.} \end{gathered}`

Therefore:

`((2)/(15))/((5)/(12))=(2\cdot12)/(15\cdot5)=(24)/(75)=(3\cdot8)/(3\cdot25)=(8)/(25)\text{.}`

Answer: Second option.