Question

verify that a+b =b+a for each of tha following (1) a= 3\7 , b = -1/5



please help me !​

Answer 1

Answer:

Here, we are given that a is equal to $\sf \dfrac{3}{7}$ and b is equal to $\sf \dfrac{- 1}{5}$ . Then we have to prove that a + b is basically equal to b + a.

So, Before going further, you have to know which kind of question is this. This is basically a commutative property rule.

Commutative Property :

It started that if we change the order of the given sum, then still it gives equal result.

For example :

✥ 1 + 2 = 3

If we change order i.e,

✥ 2 + 1 = 3

Then, it still gives the same answer which is 3.

So, now getting into the question

Let us we divide the given sum into two parts and we will consider each as left and right side respectively.

Now,

RHS side ::

Substituting the a and b value ;

• a + b

$\dashrightarrow \sf \dfrac{3}{7} + \dfrac{ - 1}{5}$

Taking L.C.M

$\dashrightarrow \sf \dfrac{15 + (-7) }{35}$

Solving Further,

$\dashrightarrow \sf \dfrac{15 - 7 }{35}$

$\bullet \: \: \dashrightarrow \bf \dfrac{8}{35}$

LHS side ::

Substituting the a and b value ;

b + a

$\dashrightarrow \sf \dfrac{ - 1}{5} + \dfrac{3}{7}$

Taking L.C.M

$\dashrightarrow \sf \dfrac{ (-7) + 15 }{35}$

Solving Further,

$\dashrightarrow \sf \dfrac{7 - 15 }{35}$

As the positive digit more than that of negative sign. So,

$\dashrightarrow \sf \dfrac{8}{35}$

From above

${\boxed {\sf {\red{\dfrac{8}{35} = \dfrac{8}{35}}}}}$

L. H S = R. H. S

Hence, Proved!