Question

The six rational number between
$\frac{ - 2}{5}$
and
$\frac{1}{2}$

​

Answer 1

We have,

• To insert 6 rational numbers between (-2)/5 and 1/2

Here,

• Making denominators equal,

$\bf \large \dag \: \: \frac{ - 2}{5} \times \frac{2}{2} = \frac{ - 4}{10}$

$\bf \large \dag \: \: \frac{1}{2} \times \frac{5}{5} = \frac{5}{10}$

Now,

Rational numbers between (-4)/10 & 5/10 can be,

$\frac{ - 3 }{10} < \frac{ - 2}{10} < ....... < \frac{3}{10} < \frac{4}{10}$

Thus,

▪ Six rational numbers lying between (-2)/5 and 1/2 are -

$\sf \to \frac{ - 2}{10} , \frac{0}{10} , \frac{1}{10} , \frac{2}{10} , \frac{3}{10} , \frac{4}{10} \\ \\ \boxed{ \tt\to \frac{ - 1 }{5} ,0, \frac{1}{10} , \frac{1}{5} , \frac{3}{10} , \frac{2}{5} \: \: \: \: }$

#FAQs

• Rational numbers -- are those numbers which can be represented as p/q where $\rm{}p,q \: \in \: co - primes$ and $\rm{}q \neq 0$.

• They can be reduced as decimals (if required).

• All mathematical operations can be carried out with rational numbers.