Answer:
Value of the blank (We assumed it as [tex]x[/tex] while solving) :-
[tex] \boxed {\tt x = \cfrac{1}{3}} [/tex]
Actual answer :-
[tex]\boxed{\tt \: 3 \times \boxed{\cfrac{1}{3}} = 1}[/tex]
Step-by-step explanation:
Given equation :-
[tex]\sf 3 \times ? = 1[/tex]
(Note: I wrote "?" instead of "blank".)
We need to find the value of the blank on this equation.
Solution:-
To solve Further let's us assume that the value of the blank be [tex]x[/tex].
So, blank = [tex]x[/tex]
The equation will be . . .
[tex]\sf \longmapsto3 \times x = 1[/tex]
Let's solve out this equation !
[tex]\sf \implies3 \times x = 1[/tex]
Multiply 3 and x on the LHS :-
[tex]\sf \implies3 x = 1[/tex]
Hence the new equation would be 3[tex]x[/tex]=1.
Now, Divide both sides by 3 :-
[tex]\sf \implies \: \cfrac{3x}{3} = \cfrac{1}{3} [/tex]
Simplify this equation :-
Cancel 3 and 3 on the LHS, Leave [tex]x[/tex] . 1/3 can't be cancelled.
[tex]\sf \implies \: \cfrac{ \cancel3}{ \cancel3x} = \cfrac{1}{3} [/tex]
[tex]\sf \implies1x = \cfrac{1}{3} [/tex]
As we know that x = 1x So,
[tex]\sf \implies \: x = \cfrac{1}{3} [/tex]
This equation can't be simplified more.
Hence, the value of [tex]x[/tex] would be 1/3.
Now,Put the value of [tex]x[/tex] (1/3) on the given equation:-
[tex]\sf \implies \: 3 \times \: \cfrac{1}{3} \: = 1[/tex]
We are done !
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I hope this helps !
Let me know if you have any questions.
[tex]\Huge\sf :) [/tex]
