Question

find 5 rational numbers between 2 and 3​

Answer 1

Answer:

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Since we want the five rational number between 2 and 3

• The numbers of denominator 5+1=7

$2 = \frac{2 \times 6}{1 \times 6}$

$= \frac{12}{6}$

And

$3 = \frac{3 \times 6}{1 \times 6}$

$= \frac{18}{6}$

We know that 12<13<14<15<17<18

And

$\frac{12}{6}< \frac{13}{6} < \frac{14}{6} <\frac{15}{6}< \frac{16}{2} <\frac{17}{6} <\frac{18}{6}$

Hence five rational number between 2 and 3 are

$\frac{13}{6}, \frac{14}{6} ,\frac{15}{6} , \frac{16}{6} , \frac{17}{6}$