Question

Express 0.6 in the form of p/q where p and q are integer and q≠0

Answer 1

Answer:

Let  x = 0.6 recurring 

Then, x = 0.666.....           ....(i)

implies  10x = 6.666........     .....(ii)

Substracting (i) from (ii),we get 

9x = 6 implies x = 6/9

implies x = 2/3

Answer 2

Given : 0.6

To Find : express 0.6 in the p/q  form, where p and q are integers and q≠0

Solution:

N = 0.6

=> N = 6/10

=> N = 3/5

0.6 = 3/5

if N = 0.6 bar  = $0.\overline{6}$

=> 10N = $6.\overline{6}$

=> 9N = 6

=> N = 6/9

=> N = 2/3

$0.\overline{6}$ = 2/3

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