Question

5. Find four rational numbers between 3 by 7 and 5 by 7​

Answer 1

Answer:

Here is ur answer

Step-by-step explanation:

3/7and5/7

3/7*10/10=30/70

5/7*10/10=50/70

Hence,four rational numbers between 3/7 and 5/7

31/70,32/70,33/70 and 34/70

Answer 2

$\huge \bf{Question}$

➡Find four rational numbers between 3 by 7 and 5 by 7

$\huge \bf{Solution}$

▶We have given two rational number which are

$\frac{3}{7} and \: \frac{5}{7}$

We have to find four rational number between given two rational numbers

To find the four rational numbers we find mean value of rational of two given rational number.

Let ,

$a = \frac{3}{7} and \: b = \frac{5}{7}$

Let x be the mean value of two rational numbers.

Then,

$x = \frac{ \frac{3}{7} + \frac{5}{7} }{2}$

$x = \frac{8}{7 \times 2}$

$x = \frac{4}{7}$

Let y be the mean value of rational numbers 3/7 and 4/7

Then,

$y = \frac{ \frac{3}{7} + \frac{4}{7} }{2}$

$y = \frac{1}{2}$

Let z be the mean value of two rational number 4/7 and 5/7

Then,

$z = \frac{ \frac{4}{7} + \frac{5}{7} }{2}$

$z = \frac{9}{14}$

Let w be the mean value of two rational number 4/7 and 9 /14

Then,

$w = \frac{ \frac{4}{7} + \frac{9}{14} }{2}$

$w = \frac{7}{28}$

HENCE,

$\frac{1}{2} \: \frac{4}{7} \: \frac{17}{28} \: and \: \frac{9}{14}$

are the 4 rational number between 3/7 and 5 /7.

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