Answer:
w = 8/5 or 1.6 as a decimal
Step-by-step explanation:
Hi!
[tex]\frac{2}{5} = \frac{w}{4}[/tex]
We first need to multiply both sides by 20 to get rid of the fractions. (that makes it easier to solve.)
We can cancel the 5, leaving a 4 in its place. 2 * 4 = 8. We have the equation like this:
8 = [tex]\frac{w}{4} \: \cdot\: 20[/tex]
Then, we will do the same.
We can cancel our 4, leaving a 5 in its place. Our updated equation is:
8 = 5 * w
8 = 5w
Dividing both sides by 8:
w = 8/5
Thus, [tex]\boxed{w\:=\:\frac{8}{5}}[/tex].
Check:
8/5 ÷ 4 = 8/5 * 1/4 = 8/20 = 2/5.
So we are correct!
Hope this helps!
