Question

convert the decimal number 17.2 15 bar into rational number ​

Answer 1

Answer:

let

17.215bar be x

and x = p/q

17.215bar = x

multiply 10 both sides

we get

172.15bar = 10x .....(1)

now again multiply 100 both sides

we get

17215.15bar = 1000x .....(2)

now we have 2 equations

subtract ...(1) from ....(2)

we get,

17043 = 990x

x = 17043/990

x = 5681/330

rational form of above question is

rational form of above question is 5681/330