Question

Conversion of a non terminating 0.245(bar 45)

Answer 1

Answer:

The simplest form of the given number in p/q form is 27/110

Solution:

Given that

0.245

Assume a fraction, where p is the numerator and q is the denominator.

Therefore,

0.2454545

Multiply the number 10 on both sides, Now we get,

10 p/q = 0.2454545

10 p/q = 02.454545. (1)

Multiply the number 1000 on both sides, we get

1000 p/q = 1000 x 0.2454545

1000 p/q = 245.454545.

Subtract the equation (1) from (2)

We get,

1000 = 245.454545

10 p/q = 2.454545

990 p/q = 243

p/q = 243/990

p/q = 81/330

p/q = 27/110

Thus, the simplest form of the given number in p/q form is 27/110.