Question

Find $ 10 $ rational numbers between $ \dfrac{{ - 3}}{{11}} $ and $ \dfrac{8}{{11}} $

Answer 1

Hint: We are asked to find the rational number between the two fractions. Fractions are the part of the whole. Generally it represents any number of equal parts and it describes the part from the certain size. Here first we will find the rational numbers between the two.

Complete step-by-step answer:
A rational number is the number which can be expressed as the ratio of two numbers or which can be expressed as the p/q form or as the quotient or the fraction with non-zero denominator.
Now, the ten rational numbers between the two fractions are –
 $ \Rightarrow \dfrac{{ - 2}}{{11}},{\text{ }}\dfrac{{ - 1}}{{11}},{\text{ }}\dfrac{0}{{11}},{\text{ }}\dfrac{1}{{11}},\;\dfrac{2}{{11}},\;\dfrac{3}{{11}},{\text{ }}\dfrac{4}{{11}},{\text{ }}\dfrac{5}{{11}},\,\dfrac{6}{{11}},\;\dfrac{7}{{11}} $
In case of not getting the required number of rational numbers, then first find the equivalent fraction of the given fractions and then start getting the rational numbers between the two.

Note: Remember the difference between the rational and irrational number. The numbers which are not represented as the rational are known as the irrational number. Always remember that between any two given numbers there are infinite rational and irrational numbers irrespective of how small or large the difference between the two may be. In irrational numbers the numbers in the form of decimal and are the non-repeating and non-terminating numbers. Be good in multiples to get the equivalent values for the fractions.