Question

Express 0.555 in p/q form​

Answer 1

Step-by-step explanation:

Let q=0.555...=0.

5

ˉ

......... (i)

10q=5.555...=0.

5

ˉ

......... (ii)

Subtracting (i) from (ii), we get

10q−q=5

⇒q=

9

5

Hence, 0.555...=

9

5

Answer 2

SOLUTION

CORRECT QUESTION

Express 0.555 . . . in p/q form

EVALUATION

Let x = 0.555 . . . . - - - - - - - (1)

Multiplying both sides by 10 we get

10x = 5.555 . . . . - - - - - - - (2)

Equation 2 - Equation 1 gives

9x = 5

$\displaystyle \sf{ \implies x = \frac{5}{9} }$

FINAL ANSWER

$\displaystyle \sf{ 0.555 . . . = \frac{5}{9} }$

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