Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

Yes

Step-by-step explanation:

The answer is yes

$\frac{2}{5} x$

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 =  $\frac{x}{100} (40)=\frac{40}{100} x$

but it turns out that we can simplify the fraction $\frac{40}{100}$.

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

40% of x = $\frac{40/20}{100/20}x$

and since

$40/20=2$

and $100/20=5$

we get

40% of x = $\frac{2}{5} x$

so yes, $\frac{2}{5} x$ is equal to 40% of the quantity $x$