Question

write 12.5 in the form of p/q where p,q are coprimes

Answer 1

$12.5 \\ \frac{125}{10} \\ \frac{25}{2}$

Answer 2

Answer:

12.5 = $\frac{25}{2}$ where 25 and 2 are coprimes

Step-by-step explanation:

Coprime Numbers are Numbers which has only 1 common factor which is "1" or say their GCD ( Greatest Common Divisor) is "1".

First we write 12.5 in  $\frac{p}{q}$  form by writing its decimal fraction.

⇒ 12.5 = $\frac{125}{10}$

Now by finding its simplest term, we get

⇒ $\frac{25}{2}$

So, 12.5 = $\frac{25}{2}$

Here, we get 25 and 2

Now check if they are coprime or not.

factors of 25 = 1 , 5 , 25

factors of 2 = 1 , 2.

⇒ Common factor = 1 or GCD = 1

⇒ 25 and 2 are coprimes.

Therefor, 12.5 = $\frac{25}{2}$ where 25 and 2 are coprimes