If the recurring decimal number 1.\stackrel{–––}{27} is equal to the rational number p/q then p - q =

TS ICET 24 May 2019 Shift 1 Paper

Question : 87 of 200

Marks: +1, -0

If the recurring decimal number

1.{27}↖{–––}

is equal to the rational number

p/q

then p - q =

Solution:

1.\ov{27}=\;{p}/{q} ⇒ 1.\ov{27}=\;{126}/{99}=\;{14}/{11}

∴ p - q =14-11=3

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