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

asked Feb 8, 2023 211k views

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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.

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