Question

find a rational number between 7 by 8 and 8 by 9​

Answer 1

Answer:

First let's make the denominator like:

The new rational numbers are (63/72) and (64/72)

*If still no number then, multiply the numerator and denominators by any other no., but now for simplicity take 2

(63/72)*(2/2) =(126/144)

(64/72)*(2/2) =(128/144)

Now the rational no. you are looking for is (127/144).

Answer 2

The given question is we have to find the rational number between the two numbers.

The given numbers are

$\frac{7}{8} and \frac{8}{9}$

It is said that to find a rational number between any two numbers x and y is given by

$\frac{(x + y)}{2}$

Here, two numbers are given let

$x = \frac{7}{8} \\ y = \frac{8}{9}$

By applying the above rule we get

$\frac{ \frac{7}{8} + \frac{8}{9} }{2}$

lets simplify the numerator we get,

$\frac{ \frac{127}{72} }{2} \\ \frac{127}{2 \times 72} \\ \frac{127}{144}$

This is the expected rational number between two expressions.

Therefore , the final answer is

$\frac{127}{144}$

# spj2

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