Question

List five rational numbers between
$\frac{-4}{5}$ and $\frac{-2}{3}$

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Answer 1

Answer:

Answer is attached here

Answer 2

Answer:

$\frac{-101}{150} ,\frac{-102}{150},\frac{-103}{150},\frac{-104}{150},\frac{-105}{150}$

Step-by-step explanation:

Converting each of the rational numbers as a denominator 5*3 = 15, we have

(LCM of 5 and 3 = 15)
$-\frac{4}{5} = -\frac{4*3}{5*3}=-\frac{12}{15}$
$-\frac{2}{3} = \frac{-2*5}{3*5}=\frac{-10}{15}$

Since there is only one integer i.e. -11 between -12 and -10, we have to find equivalent rational numbers.

$\frac{-12}{15} = \frac{-12*10}{15*10} = \frac{-120}{150}$

$\frac{-10}{15} =\frac{-10*10}{15*10} =\frac{-100}{150}$

Hence, the required five rational numbers between $\frac{-4}{5}$ and $\frac{-2}{3}$ are

$\frac{-101}{150} ,\frac{-102}{150},\frac{-103}{150},\frac{-104}{150},\frac{-105}{150}$