Question

find the rational form of the number 0.6666​

Answer 1

Step-by-step explanation:

The given number can be written as 0.6+0.06+0.006+0.0006+ ...........

This is a G.P. with a =0.6,r=

0.6

0.06

=0.1

∴S

∞

=

1−r

a

=

1−0.1

0.6

=

0.9

0.6

=

3

2

3

2

is a rational number which when expressed as a decimal is of the form 0.

6

.