Hello, mathaddict!

We want to show that: .The binary operation on rational numbers is as follows.

For rationals

(a) Prove that * is associative

. . . . . .

. . . . . .

. . . . . . .[1]

. . . . . .

. . . . . .

. . . . . . .[2]

Since [1] = [2], the operationisassociative.

Does ?(b) Determine if * is distributive with respect to addition .

. . . . . . . .[3]

. . . . . . . .[4]

Since [3] [4], the operation isnotdistributive over addition.