Question

convert rational number 1.325 bar in p/q form​

Answer 1

Step-by-step explanation:

Given that: convert rational no. 1.325 bar in p/q form

Solution:

To convert Non terminating recurring decimal expansion in the form of P/Q

one have to follow these simple steps

$let \: \: x = 1.\overline{325} \\ \\ x = 1.325325325... \: \: \: \: \: eq1\\ \\ now \: recurring \: digits \: are \: three \: \\ so \: multiplied \: eq1 \: with \: 1000 \\ \\ 1000x = 1325.325325325... \: \: \: \: \: eq2 \\ \\ eq2 - eq1 \\ \\ 1000x - x = 1325.325325325...1.325325325... \\ \\ 999x = 1324.0000000.... \\ \\ 999x = 1324 \\ \\ x = \frac{1324}{999}$

Thus,

$\blue{\bold{1.\overline{325} = \frac{1324}{999}}}$

Hope it helps you.

Answer 2

1.325 bar in p/q form=1324/999.