Question

Show that 2.4343... Can be expressed in the form of p/q

Answer 1

ANSWER:

• 2.4343.... in p/q form is 241/99.

GIVEN:

• Number = 2.4343...

TO FIND:

• Express 2.4343.... in p/q

SOLUTION:

Let x = 2.4343........ (i)

Muntiplying eq(i) by 100 we get;

=> 100x = 243.4343.....(ii)

Subtracting eq(I) from (ii) we get;

=> 100x-x = 243.4343.... - 2.4343....

=> 99x = 241

=> x = 241/99

So 2.4343.. in p/q form is 241/99.

NOTE:

• This is the method by which we can express non terminating repeating number in the form p/q.
• In this way we can represent in p/q form.