Answer: [tex]\dfrac2{15}[/tex]
Step-by-step explanation:
Given: Part of herd each son got = [tex]\dfrac13[/tex]
Part of son 2 sons got = [tex]2\times\dfrac13=\dfrac13[/tex]
Part of herd sold = [tex]\dfrac15[/tex]
Then, part of the herd is left = [tex]1-\dfrac{2}{3}-\dfrac15[/tex] [ Consider whole part as 1.]
[tex]=\dfrac{15-10-3}{15}\\\\=\dfrac{2}{15}[/tex]
Hence, part of the herd is left = [tex]\dfrac2{15}[/tex]