Respuesta :

Answer:

14

Step-by-step explanation:

What we require to calculate is

[tex]\frac{2}{5}[/tex] × ([tex]\frac{5}{6}[/tex] × 42 )

= [tex]\frac{2}{5}[/tex] × 35

= 14

Answer:

Expresion:

[tex]\frac{2}{5}(\frac{5}{6}*42)[/tex]

Evaluating:

[tex]\frac{2}{5}(\frac{5*42}{6})=\frac{2}{5}(\frac{210}{6})=\frac{2*210}{5*6}=\frac{420}{30}=14[/tex]

Step-by-step explanation:

By definition, a product is the result of a multiplication. For example:

[tex]a*b=c[/tex]

In this example "a" and "b" are the factors and "c" is the product.

Therefore, given:

"[tex]\frac{2}{5}[/tex] of the product  [tex]\frac{5}{6}[/tex] and [tex]42[/tex]"

You can observe that it indicates that the result obtained by multiplying [tex]\frac{5}{6}[/tex] and [tex]42[/tex], is multiplied by [tex]\frac{2}{5}[/tex].

Knowing this, you can write the following expression:

[tex]\frac{2}{5}(\frac{5}{6}*42)[/tex]

Finally, evaluating, you get this result:

[tex]\frac{2}{5}(\frac{5*42}{6})=\frac{2}{5}(\frac{210}{6})=\frac{2*210}{5*6}=\frac{420}{30}=14[/tex]