2 Answers

Qwerty · Answer 1 · 2023-03-15T02:01:09+0000

Recall that:

$(a)/(b)*(c)/(d)=(ac)/(bd)\text{.}$

Therefore:

$(5)/(12)*(7)/(8)=(5\cdot7)/(12\cdot8)\text{.}$

Now, we know that:

$\begin{gathered} 5\cdot7=35, \\ 12\cdot8=96. \end{gathered}$

Therefore:

$(5)/(12)*(7)/(8)=(35)/(96)\text{.}$

Now, notice that we cannot reduce the last fraction because:

$\begin{gathered} 35=7\cdot5, \\ 96=3\cdot2^5\text{.} \end{gathered}$

35 and 96 do not have common prime factors.

Answer:

$(35)/(96)\text{.}$

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