Question

Q.) Write in p/q form

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Answer 1

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(1) 357.417 ( bar on 417 )

Let X = 357.417

Then, X = 357.417417417 ----------(1)

Multiplying equation (1) by 1000 , we get

1000X = 357417.417417417 -----------(2)

Subtracting equation (1) from equation (2) , we get

1000X = 357417.417417417
X = 357.417417417
-----------------------------------

999X = 357060

X = 357060/999= 119020/111 [P/Q form ]

Hence,

357.417 ( bar on 417 ) is of the form 119020/111 which is in the form of P/Q.

(2) 30 . 219 ( bar on 219 )

Let X = 30.219

Then, X = 30.219219 ----------(1)

Multiplying equation (1) by 1000 , we get

1000X = 30219.219219 -----------(2)

Subtracting equation (1) from equation (2) , we get

1000X = 30219.219219

X = 30.219219

----------------------------------

999X = 30189

X = 30189/999 = 10063/333 [ P/Q form ]

Hence,

30.219 ( bar on 219) is of the form 10063/333 which is in the form of P/Q.