3.412 ( bar on 12) in the form of p/q
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Hello Mate!
So, let x = 3.4121212......
Now, multiply 10 from above equation
10x = 34.121212...
10x = 34 + 0.121212.....
10x = 34 + y
[ Now, y = 0.121212..... _(i)
Multiplying 100 from y we get 100y = 12.121212.... _(ii)
By (ii) - (i) we get,
99y = 12 or y = 12/99 ]
10x = 34 + 12/99
10x = ( 34 × 99 + 12 × 1 )/99
10x = ( 3366 + 12 )/99
x = 3378/990
Have great future ahead!
So, let x = 3.4121212......
Now, multiply 10 from above equation
10x = 34.121212...
10x = 34 + 0.121212.....
10x = 34 + y
[ Now, y = 0.121212..... _(i)
Multiplying 100 from y we get 100y = 12.121212.... _(ii)
By (ii) - (i) we get,
99y = 12 or y = 12/99 ]
10x = 34 + 12/99
10x = ( 34 × 99 + 12 × 1 )/99
10x = ( 3366 + 12 )/99
x = 3378/990
Have great future ahead!
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