w - 5 2/5 = 3 1/4

Answer 1

To solve the equation, we need to convert the mixed numbers to improper fractions.

w - 5 2/5 can be written as w - (5 + 2/5).
To add 5 and 2/5, we need to convert 5 to fifths and add it to 2/5:

5 = 5 * 5/5 = 25/5.

So, the equation becomes:

w - (25/5 + 2/5) = 3 1/4.

Adding the fractions:
w - (27/5) = 3 1/4.

Converting 3 1/4 to an improper fraction:
3 1/4 = (4 * 3 + 1)/4 = 13/4.

Now the equation becomes:
w - 27/5 = 13/4.

To solve for w, we need to isolate it by moving the constant terms to the other side:

w = 13/4 + 27/5.

To add the fractions, we need a common denominator which is 20:

w = (13 * 5/4 * 5) + (27 * 4/5 * 4)
w = (65/20) + (108/20)
w = 173/20.

So the solution is: w = 173/20.