Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
The concept of percent means parts per 100. So 50% would be 50 out of 100 or [tex]\frac{1}{2}[/tex].
You need to find [tex]\frac{1}{2}[/tex] of [tex]\frac{1}{3}[/tex].
Conceptually that would mean breaking [tex]\frac{1}{3}[/tex] into [tex]\frac{0.5}{3}[/tex] and [tex]\frac{0.5}{3}[/tex]
But it doesn't make much sense to have a decimal over a fraction, so both the numerator and denominator could be doubled to get rid of the decimal. [tex]0.5[/tex] doubled is [tex]1[/tex], and [tex]3[/tex] doubled is [tex]6[/tex]
This results in [tex]\frac{1}{6}[/tex]
Or it could be found by multiplication
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{3}[/tex]
