Question

how many rational numbers are there between 1 / 5 and 9 / 5​

Answer 1

Hey mate!

Here's your answer:-

total 7 rational numbers are there:-

2/5, 3/5, 4/5, 5/5, 6/5, 7/5, 8/5

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Answer 2

Answer:

There are infinitely many rational numbers between $\frac{1}{5} \ and \ \frac{9}{5}$

Step-by-step explanation:

Given,

Two rational number$\frac{1}{5} \ and \ \frac{9}{5}$

To find,

The number of rational numbers between $\frac{1}{5} \ and \ \frac{9}{5}$

Recall the concepts

Rational numbers are the numbers that can be expressed in the form $\frac{p}{q} ,$where p and q are integers and q ≠0

The average of any two rational numbers is again a rational number

Solution:

$\frac{1}{5} \ and \ \frac{9}{5}$ are rational numbers.

Let the average of $\frac{1}{5} \ and \ \frac{9}{5}$ be a, then have 'a' is a rational number

Let the average of  $\frac{1}{5} \ and\ 'a'$ is 'b' and the average of 'a' and $\frac{9}{5}$ is 'c'

Then we have b and c are also rational numbers

Continuing this we can get, that there are infinitely many rational numbers between any two rational numbers

∴There are infinitely many rational numbers between $\frac{1}{5} \ and \ \frac{9}{5}$

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