Question

Express 2.67 bar in p ÷q form

Answer 1

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Answer 2

Given:

A number 2.67 bar.

To find:

The p/q form of 2.67 bar.

Solution:

As we know that the number that can be written in the form of p/q are called rational numbers.

So, as given, we have a number,

2.67 bar

That can be written as

2.67676767...

Let 2.67 bar = x

So,

x = 2.67676767... (i)

Now,

We can see that after the decimal, two numbers are being repeated, so, we multiply (i) by 100

Hence,

After multiplying (i) by 100, we have,

100x = 267.6767... (ii)

On subtracting (ii) from (i), we have,

$99x = 265.0000...$

$x = \frac{265}{99}$

Hence, the p/q form of 2.67 bar is 265/99.