Question

find six rational number between 2/9 and 5/8

Answer 1

find the LCM of 9and 8. LCM=72
2/9=16/72 and 5/8=45/72
hence, 16/72<17/72<18/72<19/72<20/72<21/72<22/72 ..........45/72

Answer 2

The six rational number between $\frac{2}{9}$ and $\frac{5}{8}$ are $\frac{17}{72},\frac{18}{72},\frac{19}{72},\frac{20}{72},\frac{21}{72},\frac{22}{72}$

Step-by-step explanation:  

Given : Numbers $\frac{2}{9}$ and  $\frac{5}{8}$

To find : The six rational number between numbers ?

Solution :

The rational number between $\frac{2}{9}$ and  $\frac{5}{8}$

Make the denominator same,

$\frac{2}{9}=\frac{2\times 8}{9\times 8}=\frac{16}{72}$

$\frac{5}{8}=\frac{5\times 9}{8\times 9}=\frac{45}{72}$

The rational number between $\frac{16}{72}$ and $\frac{45}{72}$ are $\frac{17}{72},\frac{18}{72},\frac{19}{72},\frac{20}{72},\frac{21}{72},\frac{22}{72}$

#Learn more

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