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Let 9.313131...= x
then
x= 9.313131.... (Eq. 1)
multiply both sides by 100
as two digits are repeating
100x=931.31313131 (Eq. 2)
Subtract (Eq. 1) from (Eq. 2)
that is
100x-x=931.3131...-9.313131
99x=922
x=922/99
Therefore the p/q form of 9.3131... is 922/99
Answer:
Let 9.313131...= xthenx= 9.313131.... (Eq. 1)multiply both sides by 100as two digits are repeating100x=931.31313131 (Eq. 2)Subtract (Eq. 1) from (Eq. 2)that is100x-x=931.3131...-9.31313199x=922x=922/99Therefore the p/q form of 9.3131... is 922/99.
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