Respuesta :
Answer :
[tex] \sf \frac{3}{14} \times 2 \frac{2}{3} = [/tex]
[tex] \sf\frac{3}{14} \times \frac{2 \times 3 + 2}{3} = [/tex]
[tex] \sf\frac{3}{14} \times \frac{8}{3} = [/tex]
[tex] \sf \frac{24}{42} = [/tex]
[tex] \sf\frac{24 \div 6}{42 \div 6} = [/tex]
[tex] \sf \boxed{ \color{green} \frac{4}{7} }[/tex]
[tex]\frac{3}{14} \times 2 \frac{2}{3}[/tex]
[tex]= \frac{3}{14} \times \frac{2 \times 3 + 2}{3}[/tex]
[tex]= \frac{3}{14} \times \frac{8}{3}[/tex]
[tex]= \frac{\cancel{3}}{14} \times \frac{8}{\cancel{3}}[/tex]
[tex]= \frac{1}{14} \times 8[/tex]
[tex] = \frac{1}{\cancel{14}} \times \cancel{8}[/tex]
[tex] = \frac{1}{7} \times 4[/tex]
[tex] = \frac{1}{7} \times \frac{4}{1} [/tex]
[tex] = \frac{1 \times 4}{7 \times 1} [/tex]
[tex] = \frac{4}{7} [/tex]