Question

Please Help ASAP | 13 Points |

Answer 1

Answer:

w = 8/5 or 1.6 as a decimal

Step-by-step explanation:

Hi!

$\frac{2}{5} = \frac{w}{4}$

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 = $\frac{w}{4} \: \cdot\: 20$

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, $\boxed{w\:=\:\frac{8}{5}}$.

Check:

8/5 ÷ 4 = 8/5 * 1/4 = 8/20 = 2/5.

So we are correct!

Hope this helps!