Question

find five rational number between 1 and 2
step by step with reason​

Answer 1

Answer:

1.1,1.2,1.3,1.4,1.5

Step-by-step explanation:

As these numbers are greater than 1 and less than 2. Hope it helps you.

Answer 2

Step-by-step explanation:

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As we know that rational numbers are those which are written in the form of p/q , where q ≠ 0 and p/q is written in lowest form, such that p and q have not common factor except.

For example: 2/3 as this fraction is written in lowest form and does not any common factors except. So this is a rational number.

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Now we have to find the rational number between 1 and 2.

i.e greater than 1 and less than 2.

So, consider five number between 1 and 2 which is

$\tt \red{(1.1 \: , \: 1.2 \:, \: 1.3 \: , \: 1.4 \:, \: 1.5)}$

Now, convert these numbers into fraction

$1.1 = \frac{11}{10} ,1.2 = \frac{12}{10} ,1.3 = \frac{13}{10} ,1.4 = \frac{14}{10} ,1.5 = \frac{15}{10}$

Now, convert these fraction into lowest form such that these fraction have not any common fraction.

$⟹1.1 = \red{ \frac{11}{10} }$

$⟹1.2 = \tt \red{\frac{ \cancel{12} }{ \cancel{10} } = \frac{6}{5} }$

$⟹1.3 = \red{ \frac{13}{10} }$

$⟹1.4 = \red{ \frac{14}{10} }$

$⟹1.5 = \red{\frac{ \cancel{15}}{ \cancel{10}} = \frac{3}{2} }$

$\tt{So, \red{\{ \frac{11}{10} , \frac{6}{5}, \frac{13}{10}, \frac{7}{5} , \frac{3}{2} \}}} \: are \: the \: required \: five \: rational \: number between \: 1 \: and \: 2$