Question

insert a rational number between the following - (1) 1 & 1.1

Answer 1

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Answer 2

Answer:

$\textbf{The inserted rational number = }\bf\frac{21}{20}$

Step-by-step explanation:

Given number are : 1 and 1.1

$\implies\text{The number are m = 1 and n = }\frac{11}{10}$

Let the rational number which is to be inserted = r

Now, both the numbers are rational and to insert a rational number, r between a rational number we can use the relation :

$r = \frac{1}{2}\times (m +n)\\\\\implies r=\frac{1}{2}\times (1 + \frac{11}{10})\\\\\implies r = \frac{1}{2}\times \frac{21}{10} \\\\\bf\implies r = \frac{21}{20}\\\\\textbf{Hence, the inserted rational number = }\bf\frac{21}{20}$