Question

Express 1.37 bar as a rational number in the simplest form.(bar on 7 only)

Answer 1

Answer:

62/45

Step-by-step explanation:

Let x = 1.37 bar

This means x = 1.377777................

All numbers are like this when bar is given .

Eg : 1.67 bar

That is 1.6777....

1.34 whole bar = 1.3434....

10 x = 13.77 ....(1)

100 x = 137.77 ...(2)

Subtract (2) from (1) :

100 x - 10 x = 137.77 - 13.77

= 90 x = 124

= x = 124/90

= x = 62/45

Hence x can be expressed as a rational number of p/q form .

p = 62.

q = 45 .

Answer 2

Here is your answer

Given, number= 1.377......

Let it be x = 1.377..... - - - - - - (I)

Now, multiplying both sides of eq (I) by 10 we get--

10x = 13.77...... - - - - - (ii)

Now, subtracting eq (i) from (ii) we get =>

10x = 13.777...

(-) x = 1.377.....

--------------------------------------

9x = 12.4

=> x = 12. 4/9

=>x = 124/90


=>x = 62/45. (simplest form of fraction)

Thanks