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

w= 8 3/9
or
w= 8 13/20
or
w= 2 3/20
or
w= 8 3/20

1 answer

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

5 2/5 = 5 + 2/5 = 25/5 + 2/5 = 27/5
3 1/4 = 3 + 1/4 = 12/4 + 1/4 = 13/4

Now the equation becomes:

w - 27/5 = 13/4

To solve for w, add 27/5 to both sides of the equation:

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

Convert the improper fraction back to a mixed number:

w = 8 13/20

Therefore, the solution to the equation is w = 8 13/20.