Question

convert 34.0456(bar on 456) in p/q form​

Answer 1

SOLUTION:-

34.0456...

Let x = 34.0456456... = 34.0456

•°• 10000x = 340456.456456... = 340456.456

•°• 10000x - x = 340456.456 - 34.0456

•°• 9999x = 340,422.4104

•°• x = 340422.4104/9999 is Answer.

• Remember this

The number of recurring digits after decimal point in the given rational number.

Accordingly multiply it by 10, 100, 1000 e.g. In 2.3, digit 3 is the only recurring digit after decimal point, hence to convert 2.3 in q/p form multiply 2.3 by 10.

In 1. 24 digits 2 and 4 both are recurring therefore multiply 1. 24 by 100. In 1.513 digits 5, 1 and 3 are recurring so multiply 1.513 by1000.