Answer:
2
Step-by-step explanation:
The fractions are [tex]\frac{2}{3}[/tex] and [tex]\frac{1}{5}[/tex].
Now, [tex]\frac{2}{3}[/tex] has multiples [tex]\frac{2}{3}, \frac{4}{3}, 2, \frac{8}{3}, \frac{10}{3}, 6[/tex] ............ etc.
Now, if we divide [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{5}[/tex], we will not get an integer.
And, if we divide [tex]\frac{4}{3}[/tex] by [tex]\frac{1}{5}[/tex], we will not get an integer.
Now, if we divide 2 by [tex]\frac{1}{5}[/tex], we will get an integer which is [tex]\frac{2}{\frac{1}{5}} = 10[/tex].
Therefore, the least common multiple of [tex]\frac{2}{3}[/tex] and [tex]\frac{1}{5}[/tex] is 2. (Answer)
