Respuesta :

Answer:

3 3/4= 3*4+3/4=15/4

1 7/9= 1*9+7=16/9

16/9*15/4= 4/3*5/1= 20/3 = 6 2/3

[tex]\huge\text{Hey there!}[/tex]


[tex]\rm{3 \dfrac{3}{4}\times 1\dfrac{7}{9}}\\\\\\\rm{= \dfrac{3\times4+3}{4}\times\dfrac{1\times9+7}{9}}\\\\\\\rm{= \dfrac{12 + 3}{4}\times\dfrac{9 + 7}{9}}\\\\\rm{= \dfrac{15}{4}\times\dfrac{16}{9}}\\\\\\\rm{= \dfrac{15\times 16}{4\times9}}\\\\\\\rm{= \dfrac{240}{36}}\\\\\\\rm{= \dfrac{240\div 12}{36\div12}}\\\\\\\rm{= \dfrac{20}{3}}\\\\\\\rm{\approx 6 \dfrac{2}{3}}[/tex]


[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{6 \dfrac{2}{3}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]