Question

Write the following decimals in the form of p\ q= 0 and p,q are con-primes 1) 15.265

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Answer 1

Given:

The decimal number is 15.265.

To find:

The decimals in the form of
`(p)/(q)` and p,q are co-primes.

Solution:

Let the decimal number be
`x=15.265`.

It can be rewritten as

`x=15.265* (1000)/(1000)`

`x=(15265)/(1000)`

`x=(5* 3053)/(5* 200)`

Cancel out the common factors.

`x=(3053)/(200)`

Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.

Therefore, the requited fraction form is
`(3053)/(200)`.