Please answer this question
Answers
Commutative property:
2/3 + 5/6 + -2/3 = -2/3 + 5/6 + 2/3
2/3 + 5/6
= LCM of 3 and 6 are 6 so keep 5/6 the same.
2/3 * 2= 4/6
4/6+5/6= 9/6
As we simplify we get 3/2 + -2/3
LCM is 6
3/2 * 3= 9/6
-2/3 * 2= -4/6
9/6+ - 4/6 = 5/6
-2/3+ 5/6
LCM= 6
-2/3* 2 = -4/6
-4/6+ 5/6= 1/6
1/6 * 2/3
LCM= 6
2/3 * 2 = 4/6
4/6+ 1/6= 5/6
Thus verified for addition in commutativity ..
Multiplication ( commutative )
2/3 * 5/6 * -2/3 = -2/3*5/6* 2/3
2/3* 5/6 = 10/ 18
As we simplify we get 5/9
5/9* -2/3 = -10/27
2/3 * 5/6
10/18
As we simplify it we get 5/9
5/9 * -2/3 = -10/27
Thus verified for multiplication in commutativity
Addition ( associativity )
2/3 + ( 5/6 + [ -2/3] ) =( 2/3+ 5/6 ) + -2/3
LCM of 6 and 3 = 6
-2/3 * 2 = -4/6
5/6 + (-4/6) = 1/6 + 2/3
LCM = 6
2/3 * 2 = 4/ 6
4/6 + 1/6 = 5/6
2/3 + 5/6
LCM = 6
2/3 * 2 = 4/6
4/6 + 5/6 = 9/6
As we simplify we get 3/2
3/2 + (-2/3) = LCM = 6
3/2 * 3 = 9/6
-2/3 * 2 = -4/6
9/6 + -4/6 = 5/6
Thus verified for addition in associativity
Multiplication
2/3 * (5/6 * -2/3) =( 2/3* 5/6) * -2/3
5/6* -2/3 = -10/18
as we simplify we get -5/9
-5/9 * 2/3 = -10/27
2/3 * 5/6 = 10/18
As we simplify we get 5/9
5/9 * -2/3 = -10/18
As we simplify we get -5/9
Thus verified for multiplication in associativity
Thanks. I hope this helps. By a friend of everyone