Question

15.625625625 represent in p q form​

Answer 1

Hello, Buddy!!

||Required Response||

Given,

Number = 15.625625625...

Let, x = 15.625625625... ➝ ①

Here three decimal places are repeating. Hence, Multiple both sides with 1000.

→ x(1000) = 15.625625625...×1000

→ 1000x = 15625.625625... ➝ ②

Now, Subtract ① from ②

1000x = 15625.625625...

x = 15.625625...

_____________________

999x = 15610

x = 15610/999

• p/q form of 15.625625... ☞ 15610/999

@MrMonarque♡

Hope It Helps You ✌️

Answer 2

$\Huge{{\texttt{{\color{Magenta}{⛄A}}{\red{N}}{\purple{S}}{\pink{W}}{\blue{E}}{\green{R}}{\red{♡}}{\purple{࿐⛄}}{\color{pink}{:}}}}}$

$\sf \red{x = 15.625625625 \longrightarrow (i)}$

$\sf \green{1000x = 15625.625625625625 \longrightarrow (ii)}$

$\sf \blue{subtracting (ii) - (i)}$

$\sf \pink{999x = 15610}$

$\bold{x = \frac{15610}{999} }$

$\tt{∴ 15.6256256256256 \: in \: \frac{p}{q} \: form \: is \: \frac{15610}{999} }$

Mark Monarque sir as BRAINLIEST ✌️✌️

$\huge\red{\boxed{\orange{\mathcal{{{\fcolorbox{red}{i}{{\red{@Master}}}}}}}}}$