Question

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

Answer 1

SOLUTION

TO DETERMINE

Four rational numbers between

$\displaystyle \sf{ \frac{1}{5} \: \: \: and \: \: \frac{1}{8} }$

CONCEPT TO BE IMPLEMENTED

RATIONAL NUMBER

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

EXAMPLE

$\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers$

EVALUATION

Here the given two rational numbers are

$\displaystyle \sf{ \frac{1}{5} \: \: \: and \: \: \frac{1}{8} }$

Now

$\displaystyle \sf{ \frac{1}{5} = \frac{8}{40} = \frac{24}{120} }$

$\displaystyle \sf{ \frac{1}{8} = \frac{5}{40} = \frac{15}{120} }$

Hence the required four rational numbers are

$\displaystyle \sf{ \frac{17}{120} \: , \: \frac{19}{120} \: ,\: \frac{23}{120} \: , \: \frac{29}{120} }$

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