How do you convert a repeating decimal into a fraction terminating?

Answer 1

0. 42 =

3/5 is correct or not

No..it is not

0.42 = 0.42 (100/100)= 42/100

then divide top and bottom by common divisors.

42/100 = 21/50

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How to convert repeating decimal into a fraction

Let x represent the number to convert

(for example x = 3.14141414...)

then multiply both sides by 10^n where n is the number of repeating decimals.

( in our case n =2 , thus,

100x = 314.141414....)

then solve for x in the equation 10^n (x) -x = 10^n (your number) - your number

(so as in our example

100x -x = 311

99x =311

thus x = 311/99)