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4.Find ten rational numbers between \(\frac { -2 }{ 5 }\) and \(\frac { 1 }{ 2 }\).


Answer :

We have rational numbers as \(\frac{-2}{5} \) and \(\frac{1}{2} \)
Making same denominator:

⇒ \(\frac{-2}5 =\frac{-2×4}{5×4}=\frac{-8}{20}\)

and \(\frac{1}2 =\frac{1×10}{2×10}=\frac{10}{20}\)

Now, we have to find ten rational numbers between \(\frac{-8}{20}\) and\(\frac{10}{20}\)

So,these rational numbers can be \(\frac{-7}{20},\frac{-6}{20},\frac{-5}{20},\frac{-4}{20},\frac{-3}{20},\frac{-2}{20},\frac{-1}{20},0,\frac{1}{20},\frac{2}{20}\)

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