We start by replacing a=1/4, b=0 and c=-5/6 on both sides of a x (b + c) = (a×b) + (a+c) and compare results
So in 1/4 x (0 + (-5/6)) we solve first the parenthesis (0 + (-5/6))=(-5/6)
Now we solve the product 1/4×(-5/6) = -5/24
Now we replace in the other side
(1/4 × 0) + (1/4 × (-5/6))
First parenthesis: (0) + (-5/24) = -5/24
We conclude that both sides are equal to -5/24! So the property verifies
(Btw this is called distributive property)
