Question

If x represents a number does 2/5 Timex always represent 40% of that number

Answer 1

Yes, Because 2/5 is equivalent to 40%. Therefor, anything times 2/5 represents 40% of the given X.

Explanation:

Answer 2

Yes

Explanation:

The answer is yes

`(2)/(5) x`

will always represent 40% of the number
`x`.

This is because, if we want to calculate 40% of a quantity, what we do is we divide it by 100 and then multiply that by 40:

40% of x =
`(x)/(100) (40)=(40)/(100) x`

but it turns out that we can simplify the fraction
`(40)/(100)`.

to simplify it, we divide both 40 and 100 by 20:

40% of x =
`(40/20)/(100/20)x`

and since

`40/20=2`

and
`100/20=5`

we get

40% of x =
`(2)/(5) x`

so yes,
`(2)/(5) x` is equal to 40% of the quantity
`x`