Question

Convert 0.45888... to p/q form​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given : Express the following in the form p/q where p and q are integers and q is not equal to 0 0.345\overline{45}0.345

45

To find : Express expression as a fraction in simplest form?

Solution :

Let x=0.3454545....x=0.3454545. (1)

Multiply both side by 100,

100x=34.54545...100x=34.54545. (2)

Subtract (1) and (2),

100x-x=(34.54545...)-(0.3454545...)100x−x=(34.54545...)−(0.3454545...)

99x=34.299x=34.2

x=\frac{34.2}{99}x=

99

34.2

x=\frac{342}{990}x=

990

342

x=\frac{19}{55}x=

55

19

Therefore, the required form is 0.345\overline{45}=\frac{19}{55}0.345

45

=

55

19