Question

express 0.37 bar (bar is only on on 7 ) in the form of p/q where p and q are integers and q is not equal to 0

Answer 1

Let x = 0.37 bar

Multiply by 10 on both sides,

10×x = 10 × 0.37 bar

10x = 3.7 bar

As there is one number under bar, multiply by 10

10×10x= 10 × 3.7 bar

100x = 37.7 bar

Subtract 10x from both sides,

100x = 37.7 bar
-10x = -3.7 bar
_____________
90x = 34 [bar cancel]
_____________

x = 34/90

Then,

0.37 bar in p/q form is 34/90

I hope this will help you

-by ABHAY

Answer 2

↑ Here is your answer ↓ _____________________________________________________________ _____________________________________________________________

Let 'x' be the number 

$x = 0.3 \bar 7$

$100x = 37. \bar 7$

$10x = 3. \bar 7$

$100x -10x = 90x$

$37. \bar 7 \\ 03. \bar 7 (-) \\ ---- \\ 34.0 \\ ----$

$90x = 34$

$x = 34/90$

$x = 17/45$