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) =?<br /><br />সমাধান: <br />a/b = 3/7<br />⇒ (a/b) + 1 = (3/7) + 1<br />∴ (a + b)/b = 10/7<br /><br />b/c = 5/6<br />⇒ c/b = 6/5<br />⇒ c/b + 1 =  6/5 + 1<br />∴ (b + c)/b = 11/5<br /><br />{(a + b)/b}/{(b + c)/b} = (10/7)/(11/5)<br />⇒ (a + b)/(b + c) = (10 × 5)/(7 × 11)<br />∴ (a + b)/(b + c) = 50/77