Question

list any five rational numbees beetween -1/2 and 3/5​

Answer 1

Answer:

$First,\:we\:need\:to\:take\:the\:LCM\:of\:the\:denominators\:2\:and\:5\\\\\\The\:LCM\:is\:10\\\\\\\frac{-1}{2}\times\frac{5}{5}=\frac{-5}{10}\\\\\frac{3}{5}\times\frac{2}{2}=\frac{6}{10}\\\\\\OUR\:RATIONAL\:NUMBER\:SHOULD\:BE\:BETWEEN\:\frac{-5}{10}\:and\frac{6}{10}\\\\\\\therefore The\:answer\:is\\\\\boxed{\boxed{\frac{-3}{10},\frac{-1}{10},\frac{1}{10},\frac{3}{10},\frac{4}{10}}}$

Step-by-step explanation:

Answer 2

Answer :-

For Finding rational numbers between them, we have to you multiply and divide both of them with number to make their denominator same.

Multiply and divide $\sf{\dfrac{-1}{2}}$ by 5

$\sf\implies{\dfrac{-1\times5}{2\times5}=\dfrac{-5}{10}}$

Multiply and divide $\sf{\dfrac{3}{5}}$ by 2

$\sf\implies{\dfrac{3\times2}{5\times2}=\dfrac{6}{10}}$

So 5 rational number between $\sf{\dfrac{-1}{2}}$ and $\sf\dfrac{3}{5}$ are :-

$\sf{\dfrac{-4}{10},\dfrac{-3}{10},\dfrac{1}{10},\dfrac{2}{10},\dfrac{3}{10}}$

$\sf{\underline{\underline{\red{Important\:Point}}}}$

• There are infinite number of rational between any two number .