Question

Verify the following commutative property. If 3/5 and 2/3 are two rational numbers then ( 3/5 + 2/3 ) = ( 2/3 + 3/5 )​

Answer 1

Step-by-step explanation:

Hint

Here in this question we will use the basic concept of the commutative property. We will apply commutative property on the numbers. Then we will find the value of LHS of the equation then we will find the value of the RHS of the equation. If the LHS and RHS are equal then the commutative property is verified.

Complete step by step solution:

Commutative property states that if a

and are two numbers, then a+b=b+a

. It is an additive property.

1) Given rational numbers are 23

and 12

.

Now according to the commutative property we know that

23+12=12+23

Now we will take the LHS of the equation and calculate the value of LHS. Therefore, we get

LHS=23+12=(2×2)+(1×3)6=4+36=76

Now we will take RHS of the equation and calculate the value of RHS. Therefore, we get

RHS=12+23=(1×3)+(2×2)6=3+46=76

We can clearly see that the LHS is equals to the RHS of the equation i.e. LHS=RHS

.

Answer 2

Answe

explanation:Here in this question we will use the basic concept of the commutative property. We will apply commutative property on the numbers. Then we will find the value of LHS of the equation then we will find the value of the RHS of the equation. If the LHS and RHS are equal then the commutative property is verified.