Solve the equation w-5 2/5 = 3 1/4.

To solve the equation w - (5 2/5) = 3 1/4, we need to first convert the mixed numbers to improper fractions.

5 2/5 = (5*5 + 2)/5 = 27/5
3 1/4 = (3*4 + 1)/4 = 13/4

Now the equation becomes:

w - 27/5 = 13/4

To solve for w, we need to isolate it on one side of the equation.

First, let's find a common denominator for 5 and 4, which is 20.

Multiply both sides of the equation by 20:

20w - (20)(27/5) = (20)(13/4)

20w - 108 = 65

Next, add 108 to both sides:

20w = 173

Finally, divide both sides by 20 to solve for w:

w = 173/20

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.

w = 173/20
= 8 13/30

Therefore, the solution to the equation w - (5 2/5) = 3 1/4 is w = 8 13/30.