Question

Express 0.6 bar + 0.7 bar + 0.8 by in the form P by q

Answer 1

ANSWER :-
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let x = 0.6666....

so, 10x = 6.666....

then,

10x - x = 6.666.... - 0.666....

=> 9x = 6

=> x = $\frac{6}{9}$

=> x = $\frac{2}{3}$

so, o.6666.... in p/q form is $\frac{2}{3}$.

now, let y = 0.7777....

so, 10y = 7.777...

then,

=> 10y - y = 7.777... - 0.777....

=> 9y = 7

=> y =  $\frac{7}{9}$

so, 0.777... in p/q form is $\frac{7}{9}$

Now, let z = 0.888...

so, 10z = 8.888....

then,

=> 10z - z = 8.888... - 0.888...

=> 9z = 8

=> z = $\frac{8}{9}$

so, 0.888... in p/q form is  $\frac{8}{9}$.

thus, addition of these terms are :-

= $\frac{2}{3}$ +   $\frac{7}{9}$ +  $\frac{8}{9}$

=  $\frac{6+7+8}{9}$

=  $\frac{21}{9}$

=  $\frac{7}{3}$ ...... answer!

Answer 2

Answer:

7/3 Is the answer

Explanation: