Pls can u solve these sums with explanations??

5. Find five rational numbers between -3/8 and 1/9.

6. The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.

7. What number should be added to -5/8 so as to get -3/2?

8. What number should be subtracted from -2/3 to get -1/6?

9. Is the difference of two rational numbers a rational number?

10. What is the negative of a negative rational number?

*x*.

one of the number = $\frac{-14}{5}$

Sum of the numbers = $x+\frac{\left(-14\right)}{5}=-2$

$\Rightarrow x-\frac{14}{5}=-2\phantom{\rule{0ex}{0ex}}\Rightarrow x=-2+\frac{14}{5}=\frac{-10+14}{5}=\frac{4}{5}$

Therefore the required rational number is $\frac{4}{5}.$

7. Suppose the required number to be added is

*x*.

So we have;

$x+\left(\frac{-5}{8}\right)=\frac{-3}{2}\phantom{\rule{0ex}{0ex}}\Rightarrow x-\frac{5}{8}=\frac{-3}{2}\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{5}{8}-\frac{3}{2}\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{5-12}{8}=\frac{-7}{8}$

Therefore the required number is $\frac{-7}{8}$.

Kindly ask the remaining questions in different threads.

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