Question

convert 2.37
bar in the rational form

Answer 1

Let x = 2.37 ( bar on 7)

x = 2.3777.......

10x = 23.777...... -----(1)

100x = 237.777..... ------(2)

On subtracting equation 1 from 2, we get

90x= 214

=> x = 214 /90

=> x = 107 / 45

Required fraction = 107 / 45

Answer 2

The answer is given below :

Let us consider,

x = 2.37 (bar on 7)

=> x = 2.377777777....

Now,

10x = 23.7777777....

and

100x = 237.7777777.....

Hence,

100x - 10x = 237.777777.... - 23.777777....

=> 90x = 214

=> x = 214/90

Or, x = 107/45

Hence, the required rational number be

214/90 or, 107/45

Thank you for your question.