Question

verify that -

-6× $\frac{-26}{12}$ = $\frac{-26}{12}$ ×(-6)
________________

#Content Quality needed ✔​

Answer 1

Equation to be verified:

$- 6 \times \frac{ - 26}{12} = \frac{ - 26}{12} \times ( - 6)$

Verification:

For the verification of any equation, that it is true, we simply need to prove that the Left hand Expression (LSE) is equal to Right hand Expression(RSE).

Thus, RSE for the given equation:

$\frac{ - 26}{12} \times ( - 6)$

= -(-26/2)

= 26/2

= 13 .......….............(RSE)

and, LSE for the given equation:

$- 6 \times \frac{ -26}{12}$

= -(-26/2)

= 26/2

= 13 .....................(LSE)

Since, LSE = RSE.

Hence, it is verified that the given equation is true!

Answer 2

Given :

• -6× $\frac{-26}{12}$ = $\frac{-26}{12}$ ×(-6) [ verify it ]

To find :

• verification of the given value

Solution :

L.H.S =

$\sf\frac{-6}{1}~×~\frac{-26}{12}$

= $\sf\frac{\cancel{-6}}{1}~×~\frac{-26}{\cancel{12}}$

=$\sf\frac{1×26}{1×12}$

=$\sf\frac{26}{2}$

Now, R.H.S =

$\sf\frac{-26}{2}~×~(-6)$

= $\sf\frac{26}{\cancel{12}}~×~\frac{\cancel{-6}}{12}$

=$\sf\frac{26}{2}$

$\therefore$ L.H.S = R.H.S

Hence Proved!