Question

express 4.32222.. in p/q form​

Answer 1

Answer :

Let x = $4.3\overline{2}$ - - - - - ( 1 )

• Multiplying equation ( 1 ) by 10

= 10x = $43.\overline{2}$

= 10x = 43.222..... - - - - - - ( 2 )

• Muliplying equation ( 2 ) by 10

= 100x = 432.222..... - - - - - - ( 3 )

• Now, (iii) - (ii)

= 100x = 432.222.....

= (-) 10x = 43.222.....

_________________

= 90x = 389.000.......

= x = $\dfrac{389}{90}$

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Answer 2

Answer:

389/90

Step-by-step explanation:

Let x = 4.322222222..... ---(I)

Multiplying with 10 on Both Sides Of (I)

10x = 43.2222222222...... ----(II)

Multiplying with 100 on Both Sides Of (II)

100x = 432.22222222..... -----(III)

Subtracting Eq. (II) From Eq. (III)

100x = 432.22222222.....

- 10x = - 43.22222222.....

_____________________

90x = 389

x = 389/90

Hence The Expressed Form Of 4.32222... in p/q. form is 389/90, where p is 389 and q is 90

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