Question

-6/7 + -5/6 + -4/9 + -15/7​

Answer 1

Answer:

$\frac{-77}{18}$

Step-by-step explanation:

-6/7 + -5/6 + -4/9 + -15/7​

Rewriting It,

-6/7 - 5/6 - 4/9 - 15/7​

(As +, - results in '-' )

Since the denominators are different, We have to take the LCM of Denominators.

=> LCM of 7,6,9,7

=> By Prime factor table,

6 = 2 x 3

7 = 1 x 7

9 = 3 x 3

=> LCM = 2 x 3² x 7

=> LCM = 126.

=> 126/9=14 , 126/7=18, 126/6=21

=>-6/7 - 5/6 - 4/9 - 15/7​  = $\frac{-6 . 18 - 5 . 21 - 4 .14 - 15 .18}{126}$

=> -108 -105 -56 -270/126

=> - 539/126 = -77/18

(By Simplifying)

=>$\frac{-77}{18}$

Thanks!