Question

Express 0.32 bar as a rational number in the form p/q where p and q are integers and q not equal to 0​

Answer 1

Solution:  

Given non-terminating repeating decimal 0.323232...  

Let x = 0.323232....----(1)  

Multiply equation (1) by 100,  

we get

=> 100x = 32.323232...---(2)  

Subtract equation (1) from equation (2), we get  

=> 99x = 32  

=> x = 32/99 [ p/q form ]  

Therefore,  

x = 0.323232...

= 32/99 [ p/q from ]