Question

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

Answer 1

Recall that:

$\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}\text{.}$

Therefore:

$\frac{5}{12}\times\frac{7}{8}=\frac{5\cdot7}{12\cdot8}\text{.}$

Now, we know that:

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

Therefore:

$\frac{5}{12}\times\frac{7}{8}=\frac{35}{96}\text{.}$

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:

$\frac{35}{96}\text{.}$

Answer 2

answer 35/96. trust me