To solve the problem, let's assume the common question: If (\frac{a+b}{a-b}=5), find the value of (\frac{a}{b}). Here's the step-by-step solution:

Step 1: Cross-multiply to eliminate the fraction

Given (\frac{a+b}{a-b}=5), multiply both sides by ((a - b)):
[a + b = 5(a - b)]

Step 2: Expand and rearrange terms

Expand the right-hand side:
[a + b = 5a - 5b]

Bring all terms with (a) to one side and (b) to the other:
[b + 5b = 5a - a]

Simplify both sides:
[6b = 4a]

Step 3: Solve for (\frac{a}{b})

Divide both sides by (4b):
[ \frac{a}{b} = \frac{6}{4} = \frac{3}{2}]

Answer: (\boxed{\dfrac{3}{2}}) (or (\boxed{1.5}) if decimal is preferred)

If the question was reversed ((\frac{a}{b}=\frac{3}{2}), find (\frac{a+b}{a-b})), the answer would be (\boxed{5}). Given common problems, the most likely answer is (\boxed{\dfrac{3}{2}}).

(\boxed{3/2}) (or (\boxed{5}) depending on the exact question, but (\boxed{3/2}) is a common result here).

Final Answer: (\boxed{3/2})

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