যদি a/b = 3/7 ও b/c = 5/6 হলে, (a + b)/(b + c) =?

প্রশ্ন: যদি a/b = 3/7 ও b/c = 5/6 হলে, (a + b)/(b + c) =?

সমাধান:
a/b = 3/7
⇒ (a/b) + 1 = (3/7) + 1
∴ (a + b)/b = 10/7

b/c = 5/6
⇒ c/b = 6/5
⇒ c/b + 1 = 6/5 + 1
∴ (b + c)/b = 11/5

{(a + b)/b}/{(b + c)/b} = (10/7)/(11/5)
⇒ (a + b)/(b + c) = (10 × 5)/(7 × 11)
∴ (a + b)/(b + c) = 50/77