If A/B = 11/9, then what is the value of ( A - B/A + B) ?

Step-by-Step Solution

Given:

A/B = 11/9

This means A and B are in the ratio 11 : 9.

Let:

A = 11k
B = 9k

where k is a common constant.

Step 1: Find A - B

A - B = 11k - 9k

= 2k

Step 2: Find A + B

A + B = 11k + 9k

= 20k

Step 3: Substitute into the expression

(A - B)/(A + B)

= 2k/20k

Step 4: Simplify

= 1/10

Final Answer

Option B: 1/10