Question

2/5=w-3/2 w=19/10
What are the steps?

Answer 1

2/5=w-3/2
remember that to solve we want to isolate 1 w one side by itself
also remember that we can do anything to an equation as long as we do it to both sides (except divide by zero)

2/5=w-3/2
so we add 3/2 to both sides to get rid of the 3/2
2/5+3/2=w+3/2-3/2
2/5+3/2=w+0
2/5+3/2=w

make the bottom numbers the same
the number is 10
2/5 times 2/2=4/10
3/2 times 5/5=15/10

4/10+15/10=w
4/10+15/10=(4+15)/10=(19)/10
w=19/10
so the steps are:
1. add 3/2 to both sides
2. make the denomenators of 2/5 and 3/2 the same so we can add them

Answer 2

So,

I'm assuming you want me to evaluate the equation when w = 19/10.

$\frac{2}{5} =w- \frac{3}{2}$

$w= \frac{19}{10}$

Substitute.
$\frac{2}{5} = \frac{19}{10} - \frac{3}{2}$

Change all fractions to common denominators by finding the LCM.
LCM of 2, 5, 10 = 10

Multiply each fraction by the appropriate form of 1.
$\frac{4}{10} = \frac{19}{10} - \frac{15}{10}$

Subtract.
$\frac{4}{10} = \frac{4}{10}$

This is a true statement.

You could also say these things.

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

0.4 = 0.4

40% = 40%