Question

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

Answer 1

$\frac{-3}{4}$, $\frac{-5}{7}$, $\frac{-9}{14}$, $\frac{-17}{28}$, $\frac{-4}{7}$ 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 $\frac{-4}{8}$.

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https://brainly.in/question/118354

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