Math, asked by smritinidhi4, 16 days ago

insert 3 rational numbers between : 4/13 and 1/13​

Answers

Answered by ChinmayJain99
1

Answer:

\frac{7}{26},\frac{6}{26}, \frac{4}{26}

Step-by-step explanation:

We need to insert 3 rational numbers between \frac{4}{13} and \frac{1}{13}

\frac{4}{13} =  \frac{4*2}{13*2} = \frac{8}{26}

Same for second number

\frac{1}{13} =  \frac{1*2}{13*2} = \frac{2}{26}

Now, we have \frac{8}{26} and \frac{2}{26}

We have 5 rational numbers \frac{7}{26},\frac{6}{26}, \frac{5}{26}, \frac{4}{26} and \frac{3}{26} between \frac{8}{26} and \frac{2}{26}, i.e., between \frac{4}{13} and \frac{1}{13}

∴ Three rational numbers between \frac{4}{13} and \frac{1}{13} are \frac{7}{26},\frac{6}{26} and \frac{4}{26}

(Note. You can take any three rational numbers out of those 5 rational numbers)

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