Question

Find the rational number between and1/2and3/4​

Answer 1

Answer:

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 !

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Answer 2

Answer:

$\frac{1}{2} \times \frac{4}{4} = \frac{4}{8} \\ \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} \\ \frac{5}{8} \: \: can \: be \: the \: one$

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