Question

34545454...is equivalent to
A. 1009/55
B. 1009/5500
C. 1009/99
D. 342/990

Answer 1

Answer:

OPTION B IS THE CORRECT ANSWER. PLZ MARK ME AS BRAINLIEST ANSWER.

Answer 2

$\displaystyle \sf{18.34545454... =\bf \frac{1009}{55} }$

Correct question : 18.34545454...is equivalent to :

A) 1009/55 B) 1009/5500 C) 1009/99 D) 342/990

Given :

The number 18.34545454...

To find :

18.34545454...is equivalent to :

A) 1009/55

B) 1009/5500

C) 1009/99

D) 342/990

Solution :

Step 1 of 2 :

Write down the given number

The given number is 18.34545454...

Step 2 of 2 :

Express in the form p/q where p , q are integers and q ≠ 0

Let x = 18.34545454... - - - - - - - (1)

Multiplying both sides by 10 we get

10x = 183.4545454... - - - - - - (2)

Multiplying both sides of Equation 1 by 1000 we get

1000x = 18345.4545454... - - - - - - (3)

Equation 3 - Equation 2 gives

990x = 18162

$\displaystyle \sf{ \implies x = \frac{18162}{990} }$

$\displaystyle \sf{ \implies x = \frac{1009}{55} }$

$\displaystyle \sf{ \therefore \: \: 18.34545454... = \frac{1009}{55} }$

Hence the correct option is A. 1009/55

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