Hi there.
[tex]= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =[/tex]
What we should do here is multiply the fractions. We know this information because it says in our problem - "the product".
.
If ever we come across the word "the product of" in any mathematics problems, we should know that the operation we should use is "multiplication".
.
.
This is how we multiply fractions:
.
First, we check: Is there any way we can reduce the fractions?
.
.
We cannot divide the top and bottom of these two fractions by the same number, but there is some reducing that can be done:
.
.
Notice that 4 and 8 have a common factor - 2.
.
Since 4 and 8 have a 2 in common, we divide 8 and 4 by 2:
.
[tex]\bf{\displaystyle\frac{4}{15} *\frac{3}{8}}[/tex]
.
[tex]\bf{\displaystyle\frac{1}{15} *\frac{3}{2}}[/tex]
.
.
Now, 15 and 3 also have a common factor - 3:
.
[tex]\bf{\displaystyle\frac{1}{5} *\frac{1}{2}}[/tex]
.
.
What we should do now is multiply 1 by 1 and 5 times 2:
.
[tex]\bf{\displaystyle\frac{1}{10}}[/tex]
.
I hope that this helps clear your doubts; if any are left, please ask.
.
I wish you a nice rest of your day.
.
[tex]\bf{W}\sf{r}\bf{i}\sf{t}\bf{i}\bf{n}\sf{g}\:\bf{A\:\sf{L}\bf{e}\sf{t}\bf{t}\sf{e}\bf{r}.[/tex]
--
