Question

Express 0.37 ( bar on 7) in the form of p/q

Answer 1

Let x = 0.37 (bar on 7)

multiply by 10 on both sides,

⇒10× x = 10× 0.37 (bar on 7)

⇒10x = 3.7 bar 
====================================

As there is 1 number under bar, multiply by 10 

⇒10 × 10x = 10 × 3.7 bar

⇒100x = 37.7 bar
 
subtract 10x from both sides,

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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

Let x=0.37 (bar on 7) ((1))
Multiply both sides by 10
Therefore, 10x=3.7 (bar on 7) ((2))
Subtract ((1)) from ((2))
We get - 9x = 3.4
x = 3.4/9
x= 3.4/9X10
Hence x= 34/90