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

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

1 answer

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 = 27/5
3 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.

To get the denominators to be 20, we multiply 13/4 by 5/5 and 27/5 by 4/4:

w - 108/20 = 65/20

Now, we combine the fractions:

w - 108/20 = 65/20

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

Dividing 173 by 20 gives us 8 remainder 13, which means that w = 8 13/20.

Therefore, the correct solution is:
B. w = 8 13/20