Question

If x= 2/3 ,y=-4/9, z= 5/6, prove that (x÷y)÷z is not equal to x÷ (y÷z).​

Answer 1

Step-by-step explanation:

LHS = (x÷y)÷z

(2/3 ÷ -4/9) ÷ 5/6

(2/3 × -9/4) ÷ 5/6

-3/2 ÷ 5/6

-3/2 × 6/5

-9/5

RHS = x ÷ (y ÷z)

2/3 ÷ (-4/9 ÷ 5/6)

2/3 ÷ (-4/9 × 6/5)

2/3 ÷ (-8/15)

2/3 × -15/8

-5/4

-9/5 not equal to -5/4

hence proved