Question

solve the following (commutative property)
$\frac{7}{11} - \frac{6}{5}$
​

Answer 1

7/11 - 6/5

Commutative property :- a - b = b - a

• LHS :- 7/11 - 6/5

LCM = 55

( 7 x 5 - 6 x 11 ) 55 = ( 35 - 66 ) / 55

- 31 / 55

• RHS :- 6/5 - 7/11

LCM = 55

( 6 x 11 - 7 x 5 ) / 55 = ( 66 - 35 ) / 55

31 / 35

LHS is not equal to RHS .

So , commutative property doesn't hold for these numbers .

Answer 2

Question

Solve the following by commutative property

$\large \bf\frac{7}{11} - \frac{6}{5}$

Answer

commutative property states that :-

(a+b)=(b+a)

Here, let a=7/11 and b=6/5

Now,

Let's calculate (a+b)

$\tt{ \rightarrowtail \frac{7}{11} + \frac{6}5}$

$\tt{ \rightarrowtail \frac{7 \times 5 + 6 \times 11}{55} }$

$\tt{ \rightarrowtail \frac{35 + 66 }{55} }$

$\tt{ \rightarrowtail \frac{101}{55} }$

$\rm{ \rightarrowtail \: 1.836}$

Now,let's calculate (b+a)

$\tt{ \rightarrowtail \frac{6}{5} + \frac{7}{11}}$

$\tt{ \rightarrowtail \frac{6 \times 11 + 7 \times 5}{55} }$

$\tt{ \rightarrowtail \frac{66 + 35}{55} }$

$\tt{ \rightarrowtail \frac{101}{55} }$

$\rm{ \rightarrowtail \: 1.836}$

Hence verified!