Question

Express 2.23bar in p/q form

Answer 1

Answer:

201/90

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Answer 2

Given,

• 2.23bar is given.

To find,

• We have to express 2.23bar in the form of p/q.

Solution,

We can simply express 2.23bar in the form of p/q in the following way:

Let us suppose x = 2.23bar          (1)

Multiplying equation (1) by 100 we get

                         100x = 223.23bar   (2)

              Now, subtracting equation (1) from (2), we get

                             99x = 221

          Transposing 99 from LHS to RHS, we get

                                x = 221/99

∴2.23 bar can be expressed as 221/99 in the form of p/q.

Hence, 2.23bar can be expressed as 221/99 in the form of p/q.