Question

How i solve this express 0.3178bar in the form of p/q were p/q are integers and q is not equal to 0

Answer 1

Solution➡

X = $0.3\overline{178}$

10X = $3.\overline{178}$ .... 1 eq

10000X = $3178.\overline{178}$.... 2 eq

Now,

2nd eq - 1st eq

=> ${10000}X = 3178.\overline{178}$

- ${10}X = 3.\overline{178}$

=> ${9990X = 3175}$

=> $X = \frac{3175}{9990}$

=> $X = \frac{635}{1998}$ ✔

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Answer 2

Step-by-step explanation:

given that 0.3178bar

let x=0.317831783178---------(I)

on multiplying by 10000

10000x=3178.31783178------(ii

substacting eq (I) from eq(ii)

10000x-x=(3178.3178)-0.3178

9999x=3178

x=3178/9999

this is your answer