Question

show that:
(-8/9×1/-5)+(-8/9×-7/11)= -8/9×(1/-5+-7/11)​

Answer 1

Step-by-step explanation:

lhs= (-8/9×1/-5)+(-8/9×-7/11)

so, (-8/9×1/-5)= -8/-45

and (-8/9×-7/11)= 56/99

lcm= 495

-8/-45= 88/495

56/99=280/495

so, 88+280/495=368/495

rhs= 8/9×(1/-5+-7/11)

(1/-5+-7/11)

lcm= 55

so, 1/-5= -11/55

-7/11= -35 /55

so, -11+ -35/55= -36/55

now, -36/55× -8/9

=368/495

this proves that Lhs = Rhs.

hope it helps.