How do you know that the sum of
and
is rational ?

A rational number is any number that can expressed as a fraction, those numbers are already fractions, so any operation on them gives a fraction which is rational

1/8

Step-by-step explanation:

Initially the jug was filled three quarters that is ¾. And jyoti poured out half of the water present in the jug. We need to find out which part of jug is filled. So since half of water is taken , hence water taken = 3/4 ÷ 2 = 3/4 × 1/2 = 3/8

⇒ Water left = 3/4 - 3/8

⇒ Water left = 6 - 3/8

⇒ Water left = 1/8