Question

2/5 of the product of 5/6 and 42.

Write an expression to match, and then evaluate.

Answer 1

14

Explanation:

What we require to calculate is

`(2)/(5)` × (
`(5)/(6)` × 42 )

=
`(2)/(5)` × 35

= 14

Answer 2

Expresion:

`(2)/(5)((5)/(6)*42)`

Evaluating:

`(2)/(5)((5*42)/(6))=(2)/(5)((210)/(6))=(2*210)/(5*6)=(420)/(30)=14`

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:

"
`(2)/(5)` of the product
`(5)/(6)` and
`42`"

You can observe that it indicates that the result obtained by multiplying
`(5)/(6)` and
`42`, is multiplied by
`(2)/(5)`.

Knowing this, you can write the following expression:

`(2)/(5)((5)/(6)*42)`

Finally, evaluating, you get this result:

`(2)/(5)((5*42)/(6))=(2)/(5)((210)/(6))=(2*210)/(5*6)=(420)/(30)=14`