Answer:
[tex]19\dfrac{8}{55}[/tex]
Step-by-step explanation:
Fraction multiplication:
- Convert mixed fraction to improper fraction.
[tex]5\dfrac{2}{5}=\dfrac{(5*5)+2}{5}=\dfrac{27}{5}\\\\\\3\dfrac{6}{11}=\dfrac{(3*11)+6}{11}=\dfrac{39}{11}[/tex]
- Here, there are no common terms in the numerator and denominator. so multiply, the numerators 27 *39 and the denomiators 5*11
[tex]5\dfrac{2}{5}*3\dfrac{6}{11}=\dfrac{27}{5}*\dfrac{39}{11}[/tex]
[tex]=\dfrac{27*39}{5*11}\\\\=\dfrac{1053}{55}\\\\=19\dfrac{8}{55}[/tex]
