Question

find 5 rational number between 1/2 and3/4​

Answer 1

Answer:

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Step-by-step explanation:

Given rationals numbers are, 1/2 & 3/4

We know that, Between two given rational numbers, there exists infinite number of rational numbers. We are required to find out 3 such.

Changing to equivalent fractions.

1/2 = 12/24

3/4 = 18/24

We changed the rationals to have equal denominators.

So now rational numbers between 12/24 & 18/24 would be rational numbers between 1/2, 3/4 ( Because they are equivalent fractions 1/2 = 12/24, 3/4 = 18/24)

Now, Rationals between 1/2 & 3/4 are

13/24

14/24

15/24

16/24

17/24

We can also find many such rational numbers. And If we wish to find exactly equidistant rational numbers,

Then We can use the Arithmetic progression.

Between two rationals a & b ( b > a), we need to find n equidistant rationals then the distance between consecutive rationals is

d = b - a / n +1

After finding the distance,

The required rationals will be a + d, a + 2d,a + 3d,.....

Hope helped !

Answer 2

Answer :

We know that,

• For finding rational number between any two number.
• We have to first, make their denominators same.

$\rightarrow$ $\dfrac{1×4}{2×4} = \dfrac{4}{8} ; \dfrac{3×2}{4×2} = \dfrac{6}{8}$

Now,

• As we have to find 5 rational numbers
• We will add 1 more to the number and then multiply it with the numbers.
• That is ( n + 1)

Here,

• n = the no. of rational numbers to be find.
• (n + 1) = (5 + 1) = 6

$\rightarrow$ $\dfrac{4×6}{8×6}=\dfrac{24}{48} ; \dfrac{6×6}{8×6}=\dfrac{36}{48}$

So, the five rational numbers are :-

$\dfrac{25}{48} , \dfrac{26}{48} , \dfrac{27}{48} , \dfrac{28}{48} , \dfrac{29}{48}$

Thank you :D

Happy learning !!

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