Question

arrange the following into accessing order 4/-9, -5/12, 7/18, -2/3​

Answer 1

Answer:

7/18 , 4/-9 , - 5/12 , -2/3

Answer 2

Answer:

7/8 < -5/12 < 4/-9 < -2/3

Step-by-step explanation:

First we will take the LCM of the denominators -9, 12, 18, 3

WE've got 2 x 2 x 3 x 3 x (-1) x 1 x 1 x 1

4 x 9 x -1 x 1

36 x -1

-36 is our lcm

now,

≈ $\frac{4 \ x \ 4}{-9 \ x\ 4} = \frac{16}{-36}$

≈ $\frac{-5 \ x \ -3}{12 \ x \ -3} = \frac{15}{-36}$

≈ $\frac{7\ x\ -2}{18 \ x \ -2} = \frac{-14}{-36}$

≈ $\frac{-2\ x\ -12}{3 \ x \ -12} = \frac{24}{-36}$

-14 < 15 < 16 < 24

so , 7/8 < -5/12 < 4/-9 < -2/3

Hope it Helps∫