Question

Express the following decimal in the form of p/q form where p&q are integers q is not equal to 0 2.218218

Answer 1

Let x= 2.218...

1000x=2218.218...

1000x - x = 2218.218... - 2.218...

999x=2216

x=2216÷999

2.218...=2216÷999

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Answer 2

Answer:

as per your awesome question,

p is parallel to q

and, q is not equal to 0

Step-by-step explanation:

in given number , 218 is terminating

so,

let a= 2.218...... (1)

then,

let 1000 × a= 2218.218....... (2).

[ 1000 multiplies with a because there are three numbers after decimal in questions

so, 10 power 3= 1000

to find, p by q and q is not 0

so,

we subtract (2) from (1)

then,

(1000a) -( a) =( 2218.218... ) - (2.218....)

so,

999a =2216

then,

a =2216 by 999

hence ,

p = 2216 and q = 999 ( answer)

so,

p by q = 2216 by 999

and q is not equal to zero

i hope you understand