Math, asked by unknown2684, 14 days ago

Find 10 rational numbers between (2/7) and (3/5).

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Answers

Answered by ItzzTwinklingStar
26

Given:

  • We have been given two rational numbers  \sf{  \frac{2}{7}and \frac{3}{5}}

To Find:

  • We need to find five rational numbers between  \sf{  \frac{2}{7}and \frac{3}{5}}

Solution:

Inorder to find five rational numbers between

 \sf{  \frac{2}{7}and \frac{3}{5}} , we need to multiply by 5 and 7 in both  \sf{  \frac{2}{7}and \frac{3}{5}}

We get,

 \sf :   \implies  \frac{2}{7}  \times  \frac{5}{5}  =  \frac{10}{35}  \\  \\

 \sf :   \implies  \frac{3}{5}  \times  \frac{7}{7}  =  \frac{21}{35}  \\  \\

Now five rational numbers between  \sf{  \frac{2}{7}and \frac{3}{5}} are :

 \sf    \frac{10}{35} , \frac{11}{35}, \frac{12}{35},\frac{13}{35},\frac{14}{35} , \frac{15}{35},  \frac{16}{35} ,\frac{17}{35} ,\frac{18}{35} , \frac{19}{35}  \\  \\

Therefore, five rational numbers between  \sf{  \frac{2}{7}and \frac{3}{5}} are

 \sf    \frac{10}{35} , \frac{11}{35}, \frac{12}{35},\frac{13}{35},\frac{14}{35} , \frac{15}{35},  \frac{16}{35} ,\frac{17}{35} ,\frac{18}{35} , \frac{19}{35}  \\  \\

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