Question

Rational number between -1/3 and 1/2​

Answer 1

Step-by-step explanation:

Take Lcm of denominators

-1/3 ×2/2 = -2/6

1/2×3/3=3/6

-2/6 (-1/6,1/6,2/6) 3/6

Answer 2

Anѕwєr :

$\large \:\purple{ \dfrac{ - 1}{6},\: \: \: \dfrac{ 0}{6} ,\: \: \: \: \dfrac{1}{6},\: \: \dfrac{2}{6} \: }$

Exρlαnαtion:

❍As they asked to find the Rational numbers between -1/3 and 1/2 . We can find infinity number of Rational numbers between any two Rational numbers. Firstly let's make the denominators equal by taking L.C.M of them ..

L.C.M of 3, 2 is 6

-1/3 can be written as follows :

$\sf \: \dfrac{ - 1}{3} \times \dfrac{2}{2} = \dfrac{ - 2}{6}$

$\large \orange{ \dfrac{ - 1}{3} = \dfrac{ - 2}{6} } \: \: \: \: (1)$

$\sf \dfrac{1}{2} \times \dfrac{3}{3} = \dfrac{3}{6}$

$\large \orange{ \dfrac{ 1}{2} = \dfrac{3}{6} } \: \: \: \: (2)$

Now , we can find the Rational numbers between-2/6 and 3/6.

$\purple{ \dfrac{ - 1}{6}, \: \: \:\dfrac{ 0}{6} ,\: \: \: \: \dfrac{1}{6} \: \: \: \dfrac{2}{6} \: }$

_____________________________

Note : You can find infinity number of Rational numbers by multiplying and denominator with any number .So that you can get different numbers.