Question

Solve plz.. Help me



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Answer 1

Answer:

The fraction form of 1.212121.... is 40/33

Step-by-step explanation:

Let x = 1.212121.... - (1)

Multiply both the sides by 100.

100x = 121.212121 - (2)

Subtract equation (1) from (2),

100x = 121.212121...

- x = 1.212121...

________________

99x = 120.0000

x = 120/99

x = 40/33

Answer 2

Step-by-step explanation:

Correction :-

1.21 bar on 21

To find :-

Express the decimal number into p/q form ?

Solution :-

Given number = 1.21 bar on 21

Let X = 1.21 bar on 21

=> X = 1.21212121... -------------------(1)

Since the periodicity is 2 then multiply (1) with 100

=> 100×X = 1.21212121...×100

=> 100X = 121.212121... -------------------(2)

On subtracting (1) from (2)

(2)-(1)=>

100X = 121.212121...

X = 1.212121...

(-) (-)

________________

99X = 120.000000...

________________

=> 99X = 120

=> X = 120/99

=> X = 40/33

Therefore, 1.21 bar on 21 = 40/33

Answer:-

The rational form or p/q form of the given decimal number is 40/33

Used formulae:-

• If the periodicity is 2 then multiply the equation with 100

Points to know :-

The number of digits in the non terminating and recurring decimal number after decimal point is called the Periodicity and the group of digits is called the Period .

EX :-

In 2.3636... , Period = 36

Periodicity = 2