Question

Show that 0.3333 = 0.3 can be expressed in the form of p upon q where p and q are integers and q not equal to zero

Answer 1

Answer:

0.333....

Let x be 0.333.....

and Let 10x be 10 X 0.333...... = 3.33

10 x - x = 3.33 - 0.33

=3

9x = 3

x = 3/9 =1/3!

1/3 is a rational number which is in p/q form where p and q are integers(co primes) and q is not equal to 0.so it can be the answer,if it is right so please give me thumbs up experts

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Answer 2

Answer:

Let X= 0.3bar----1 eq

multiply it by 10

10x = 3.3bar-----2 eq

subtract eq 1 from 2nd

9x = 3

X=1/3