Math, asked by faeqkauchali, 6 hours ago

Find 6 rational numbers between -6/7 and -4/8​

Answers

Answered by yapuramvaishnavi16
0

\frac{-3}{4}, \frac{-5}{7}, \frac{-9}{14}, \frac{-17}{28}, \frac{-4}{7} and \frac{-15}{28} are the 6 rational numbers between \frac{-6}{7} and \frac{-4}{8} by taking common denominators.

Given that,

We have to determine six rational numbers between \frac{-6}{7} and \frac{-4}{8}.

We know that,

Take the two rational numbers

\frac{-6}{7} and \frac{-4}{8}

To find rational number between two rational numbers the denominator should be same.

So, Lcm of 7 and 8 is 56 (lcm is least common multiple)

Now,  \frac{-48}{56} and \frac{-28}{56}

The 6 rational numbers between  \frac{-6}{7} and \frac{-4}{8} are

\frac{-42}{56}, \frac{-40}{56}, \frac{-36}{56}, \frac{-34}{56}, \frac{-32}{56} and \frac{-30}{56}

\frac{-3}{4}, \frac{-5}{7}, \frac{-9}{14}, \frac{-17}{28}, \frac{-4}{7} and \frac{-15}{28}

Therefore, \frac{-3}{4}, \frac{-5}{7}, \frac{-9}{14}, \frac{-17}{28}, \frac{-4}{7} and \frac{-15}{28} are the 6 rational numbers between \frac{-6}{7} and \frac{-4}{8}.

To know more, visit:

https://brainly.in/question/118354

https://brainly.in/question/17192196

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