Question

pls help me
find this answer Notice that there is a bar on number 5,34 and 225.

Answer 1

Expressing the following in p/q form in which p and q are integers and q ≠ 0


(i) 0.5 (bar on 5)

Solution :

Let, x = 0.55555 ..............................(1)

On multiplying both sides of equation.(1) by 10 we get,

10x = 5.55555 ..................................(2)

On subtracting equation.(1) from equation.(2) we get,

10x - x = (5.55555......) - (0.55555......)

=> 9x = 5

=> x = 5/9

=================================

(ii) 0.234 (bar on 34)

Let, x = 0.2343434.............................(1)

On multiplying both sides of equation.(1) by 10 we get,

10x = 2.343434...................................(2)

On multiplying both sides of equation.(2) by 100 we get,

1000x = 234.343434.........................(3)

On subtracting equation.(2) from equation.(3) we get,

1000x - 10x = (234.3434.....) - (2.3434.....)

=> 990x = 232

=> x = 232/990

=================================

(iii) 3.225 (bar on 225)

Let x = 3.225225225........................(1)

On multiplying both sides of equation.(1) by 1000 we get,

1000x = 3225.225225225..................(2)

On subtracting equation.(1) from equation (2) we get,

1000x - x = (3225.225....) - (3.225.....)

=> 999x = 3222

=> x = 3222/999