Solve the equation w−5 2/5=3 1/4.

Question

1. w= 8 3/20

2. w=8 13/20

3. w=2 3/20

4. w=8 3/9

Answer 1

To solve the equation w - 5 2/5 = 3 1/4, we need to find the value of w.

First, let's convert the mixed numbers into 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

Next, we need to find a common denominator for 5 and 4, which is 20.

Multiplying both sides of the equation by 20 gives:
20w - 20*(27/5) = 20*(13/4)
20w - 108 = 65

Now, let's solve for w:
20w = 65 + 108
20w = 173
w = 173/20

Converting the improper fraction to a mixed number gives:
w = 8 13/20

Therefore, the correct answer is option 2: w = 8 13/20.