If the recurring decimal number 3.7\stackrel{–––}{84} is equal to the rational number p/q and GCD (p,q) = 1 , then p + q =

TS ICET 23 May 2019 Shift 2 Paper

Question : 86 of 200

Marks: +1, -0

If the recurring decimal number

3.7{84}↖{–––}

is equal to the rational number

p/q

and GCD (p,q) = 1 , then p + q =

Solution:

3.\ov{784}=\;{3784-37}/{990}=\;{1249}/{330}

As the HCF of 1249 and 330 is 1, p = 1249 and q = 330.
Hence

p + q = 1579

Go to Question:

Prev Question

Next Question