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Two rational numbers between \frac{2}{3} and \frac{5}{3} are

Option: 1

\frac{1}{6} and \frac{2}{6}


Option: 2

\frac{1}{6} and\hspace{0.2cm} 2


Option: 3

\frac{5}{6} and \frac{7}{6}


Option: 4

\frac{2}{3} and \frac{4}{3


Answers (1)

best_answer

Suppose we are required to fi nd one rational number between two rational numbers x and y such that x < y.

Then, \frac{1}{2}(x+y)is a rational number lying between x and y.

One rational number between \frac{2}{3} and \frac{5}{3} is \frac{1}{2}(\frac{2}{3}+\frac{5}{3})=\frac{7}{6}

\\\frac{5}{6}=0.8\bar3\\\frac{2}{3}=0.666...\\\frac{5}{3}=1.666..\\\Rightarrow \frac{2}{3}<\frac{5}{6}<\frac{5}{3}

Correct option is (c)

 

 

 

Posted by

Divya Prakash Singh

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