Question

Express the product in Simplest form5/12 x 7/8

Answer 1

answer 35/96. trust me

Answer 2

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{.}`