Question

find two rational number between 1/3 and 1/4​

Answer 1

Answer:

Step-by-step explanation:

7/24, 15/48

Step-by-step explanation:

Hi,

Given 2 rational numbers 1/3 and 1/4.

Let a = 1/4 and b = 1/3.

Now, for any 2 given rationals a and b, we know that (a + b)/2 is also rational

Hence , (1/3 + 1/4)/2 = 7/24 is also rational.

let c = 7/24.

Also, we know that ∀ a, b ∈ R, we have that

                       a ≤ (a + b)/2 ≤ b

Equality occurs if a =b.

Now, hence 1/4 < 7/24 < 1/3.

Hence, we have inserted one rational between 1/3 and 1/4.

Similarly consider pairs either 1/3 and 7/24 or 7/24 and 1/4,

say consider 1/3 and 7/24.

Now, (1/3 + 7/24)/2 = 15/48 lies between these 2 numbers

let this be d = 15/48

7/24 < 15/48 < 1/3

a = 1/4 <  7/24 < 15/48 < 1/3 = b

Hence , we have inserted 2 rationals 7/24 and 15/48 between 2 given

rational numbers.

Similarly, we can insert countable number of rationals.

Answer 2

Step-by-step explanation:

bhaiya shayari ki jagah Answer status jyada achha hota