Question

Represent 1.235 bar (only number 5 under bar) in p/q form

Answer 1

SOLUTION :

Let x be = 1.235555..... ___(i)

Multiplying both the sides by 100 in equation(i), we get,

100x = 123.5555.....  ___(ii)

Now,

Multiplying 10 to both the side in equation(ii), we get,

1000x = 1235.5555......  ___(iii)

Now,

Subtracting equation (ii) from equation (iii), we get,

1000x = 1235.5555......

- 100x =    123.5555......

___________________

900x =    1112.0000......

___________________

⇒ 900x = 1112

⇒ x = 1112 ÷ 900

$\therefore \bf x=\frac{1112}{900}$

Answer 2

Answer:

SOLUTION :

Let x be = 1.235555..... ___(i)

Multiplying both the sides by 100 in equation(i), we get,

100x = 123.5555..... ___(ii)

Now,

Multiplying 10 to both the side in equation(ii), we get,

1000x = 1235.5555...... ___(iii)

Now,

Subtracting equation (ii) from equation (iii), we get,

1000x = 1235.5555......

- 100x = 123.5555......

___________________

900x = 1112.0000......

___________________

⇒ 900x = 1112

⇒ x = 1112 ÷ 900

$\therefore \bf x=\frac{1112}{900}$