Respuesta :

 5/11 because if you simplify starting at 40/88 you get 5/11

Answer:  The required answer is [tex]\dfrac{5}{11}.[/tex]

Step-by-step explanation:  We are given to perform he following indicated operation :

[tex]E=\dfrac{4}{11}\times\dfrac{10}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

In the given expression, since the two fractions are combined by the product sign, so 4 will be canceled by 8.

From expression (i), we get

[tex]E\\\\=\dfrac{4}{11}\times\dfrac{10}{8}\\\\\\=\dfrac{1}{11}\times\dfrac{10}{2}\\\\\\=\dfrac{5}{11}.[/tex]

Thus, the required answer is [tex]\dfrac{5}{11}.[/tex]