Question

Express 0.272727....... in p/q form

Answer 1

Given,

• 0.272727___ is given.

To find,

• We have to express 0.272727___ in p/q form.

Solution,

We can simply express 0.272727___ in p/q form.

Let us assume x = 0.272727___   (1)

Now, multiply by 100 on both sides, we get

                        100x = 27.272727___  (2)

Now, subtract (1) from (2), we get

                               (2)-(1)

                      100x-x = 27.272727___ - 0.272727___

                           99x = 27

                               x = 27/99

27/99 in simplest form can be reduced as:

                               x = 3/11

Hence, 0.272727__in p/q form can be expressed as 3/11.