Math, asked by bevanmanu6, 7 months ago

0.123 can be expressed in rational form as
a]900/100

Answers

Answered by padigarbhavani
5

Answer:

0.123 = 123/1000.

Step-by-step explanation:

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Answered by pulakmath007
5

SOLUTION

TO DETERMINE

 \sf{ 0.12 \bar{3}  \:  \: can \:  be \:  expressed \:  in  \: rational \:  form \:  as }

EVALUATION

 \sf{ Let  \:  \: x = 0.12 \bar{3} }

Then

x = 0.1233333 . . . . - - - - - - (1)

Multiplying both sides by 100 we get

100x = 12.33333 . . . . - - - - - - (2)

Again Multiplying both sides by 10 we get

1000x = 123.33333 . . . . - - - - - - (3)

Equation 3 - Equation 2 gives

900x = 121

\displaystyle \sf{ \implies x =  \frac{121}{900} }

\displaystyle \sf{ \implies  0.12 \bar{3}=  \frac{121}{900} }

FINAL ANSWER

 \sf{ 0.12 \bar{3}  \:  \: can \:  be \:  expressed \:  in  \: rational \:  form \:  as \:  \:  \frac{121}{900}  }

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