Question

write in p/q form 0.2871 of 2871 on bar with method​

Answer 1

Let it be equal to x,

x = 0.287128712871... (1)

Multiply (1) by 10000 to get the first four digits after decimal.

==> 10000x = 2871.28712871... (2)

Subtract (1) from (2)

==> 10000x - x = 2871 - 0

==> 9999x = 2871

==> 3333x = 957

==> 1111x = 319

==> x = 319/1111

Hence, The p/q form of the given decimal expansion is 319/1111