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  • Find ten rational numbers between 3/5 and 3/4.

7. Find ten rational numbers between  \frac{3}{5} and \frac{3}{4}.

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Finding rational numbers between \frac{3}{5} and \frac{3}{4} is equivalent to finding rational numbers between rational numbers between  \frac{12}{20} and  \frac{15}{20} ,since these numbers are obtained by just making their denominators equal. 

Further it is equivalent to finding a rational number between \frac{96}{160} and \frac{120}{160}

(We obtained the above numbers by multiplying and dividing numbers by 8 to create a difference of at least 10 numbers).

Thus required numbers are \frac{97}{160},\frac{98}{160},\frac{99}{160},........,\frac{106}{160}

 

Alternate:- Rational numbers can also be found by taking the mean of the given numbers and the newly obtained number.

Posted by

Divya Prakash Singh

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