Question

Plz and fast
Express 2.035555.. in form of p/q.

Answer 1

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♦ We have to express

2.035555... in the form of p/q

Step 1 :-

Let

x = 2.03555...

Step 2 :-

Multiply x by 100

100x = 203.55555.... (i)

Step 3 :-

Multiply x by 1000

1000x = 2035.555...... (ii)

Step 4 :-

Subtract (ii) by (i)

1000x = 2035.555...

- 100x = 203.5555

__________________

900x = 1832

♦ Now as 900x = 1832

Then to find out required number we will find value of x

$x = \dfrac{1832}{900}$

$x = \dfrac{458}{225}$

♦ So representation of 2.035555 ... in p/q

is $\dfrac{458}{225}$

Answer 2

Answer:

Step-by-step explanation:We have to express

2.035555... in the form of p/q

Step 1 :-

Let

x = 2.03555...

Step 2 :-

Multiply x by 100

100x = 203.55555.... (i)

Step 3 :-

Multiply x by 1000

1000x = 2035.555...... (ii)

Step 4 :-

Subtract (ii) by (i)

1000x = 2035.555...

- 100x = 203.5555

__________________

900x = 1832

♦ Now as 900x = 1832

Then to find out required number we will find value of x

♦ So representation of 2.035555 ... in p/q

is

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