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

Question

A. w = 2 3/20
B. w = 8 13/20
C. w = 8 3/20
D. w = 8 3/9

Answer 1

To solve the equation:

w - 5 2/5 = 3 1/4

First, we need to convert the mixed numbers to improper fractions:

5 2/5 = 27/5
3 1/4 = 13/4

Now the equation becomes:

w - 27/5 = 13/4

To eliminate the fraction on the left side, we need to find a common denominator, which is 20 in this case:

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

Now we can combine the fractions:

w = 65/20 + 108/20
w = 173/20

Now, we need to convert the improper fraction back to a mixed number:

173 ÷ 20 = 8 with a remainder of 13

So, w = 8 13/20

Therefore, the answer is B. w = 8 13/20.