Question

2/5 of the product of 5/6 and 42. Write an expression to match, and then evaluate.

Answer 1

Answer:

Expresion:

$\frac{2}{5}(\frac{5}{6}*42)$

Evaluating:

$\frac{2}{5}(\frac{5*42}{6})=\frac{2}{5}(\frac{210}{6})=\frac{2*210}{5*6}=\frac{420}{30}=14$

Step-by-step explanation:

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

$a*b=c$

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

Therefore, given:

"$\frac{2}{5}$ of the product  $\frac{5}{6}$ and $42$"

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

Knowing this, you can write the following expression:

$\frac{2}{5}(\frac{5}{6}*42)$

Finally, evaluating, you get this result:

$\frac{2}{5}(\frac{5*42}{6})=\frac{2}{5}(\frac{210}{6})=\frac{2*210}{5*6}=\frac{420}{30}=14$

Answer 2

Answer:

14

Step-by-step explanation:

What we require to calculate is

$\frac{2}{5}$ × ($\frac{5}{6}$ × 42 )

= $\frac{2}{5}$ × 35

= 14