Question

find any four rational numbers and between 1/5 and 1/8​

Answer 1

Step-by-step explanation:

1/8 = (1×5)/(8×5)= 5/40= 10/80

1/5 = (1×8)/(5×8)= 8/40=16/80

Therefore,

Required five rational numbers

between 1/8 and 1/5 are

(1/8= 10/80) ,

{11/80, 12/80 ,13/80, 14/80, 15/80 },

(16/80=1/5)

I hope this helps you.

Answer 2

The rational numbers between 1/5 and 1/8 are :$\frac{26}{200}, \frac{27}{200} , \frac{28}{200} and \frac{29}{200}$

Given:

Rational numbers 1/5 and 1/8

To find:

Rational numbers between 1/5 and 1/8

Solution:

Numbers which can be written in the form of fraction or $\frac{x}{y}$ is called rational numbers.

To find the rational numbers between $\frac{1}{5} and \frac{1}{8}$  the denominator should be same so the LCM of 5 and 8 is 40. The new fractions are :

$\frac{1 * 8 }{5 *8} = \frac{8}{40} \\\frac{1*5}{8*5} = \frac{5}{40}$

Since there are less than four numbers between them, we will do a factor of it by 5,

Now, the new fractions are:

$\frac{8*5}{40*5} = \frac{40}{200} \\\\\frac{5*5}{40*5} =\frac{25}{200}$

Now, the rational numbers between them are:

$\frac{26}{200}, \frac{27}{200} , \frac{28}{200} and \frac{29}{200}$

(You can take other numbers as well from 25 to 50)

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