Question

29 rational numbers between -2/5 and 1/5

Answer 1

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Given:

• Two rational numbers $\displaystyle\frac {-2}{5},\displaystyle\frac {1}{5}$

Find:

• 24 rational numbers between these two numbers

Solution:

The two rational numbers which we have are $\displaystyle\frac {-2}{5},\displaystyle\frac {1}{5}$

As we know, we have to find out 29 new rational numbers between them so we take it as (29+1=30) ; and multiply 30 to both the numbers.

{Multiplying 30 to the rational numbers}

$\displaystyle\frac {-2×30}{5×30}$

$\displaystyle\frac {-60}{150}$

$\displaystyle\frac {1×30}{5×30}$

$\displaystyle\frac {30}{150}$

On Multiplying the new numbers we have are $\displaystyle\frac {-60}{150}$ and $\displaystyle\frac {30}{150}$

Now, Find 29 numbers between them; that are -

$\displaystyle\frac {-60}{150}$ ,$\displaystyle\frac {-61}{150}$ ,$\displaystyle\frac {-62}{150}$ , $\displaystyle\frac {-63}{150}$,$\displaystyle\frac {-64}{150}$ ,$\displaystyle\frac {-65}{150}$,$\displaystyle\frac {-66}{150}$ , $\displaystyle\frac {-67}{150}$ ,$\displaystyle\frac {-68}{150}$,$\displaystyle\frac {-69}{150}$ , $\displaystyle\frac {-70}{150}$,$\displaystyle\frac {-71}{150}$, $\displaystyle\frac {-72}{150}$,$\displaystyle\frac {-73}{150}$,$\displaystyle\frac {-74}{150}$,$\displaystyle\frac {-75}{150}$,$\displaystyle\frac {-76}{150}$,$\displaystyle\frac {-77}{150}$,$\displaystyle\frac {-78}{150}$,$\displaystyle\frac {-79}{150}$,$\displaystyle\frac {-80}{150}$,$\displaystyle\frac {-81}{150}$,$\displaystyle\frac {-82}{150}$,$\displaystyle\frac {-83}{150}$,$\displaystyle\frac {-84}{150}$,$\displaystyle\frac {-85}{150}$,$\displaystyle\frac {-86}{150}$,$\displaystyle\frac {-87}{150}$,$\displaystyle\frac {-88}{150}$,$\displaystyle\frac {30}{150}$

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