Question

Express 1.23737...... in the form of p/q

Answer 1

Answer:

Step-by-step explanation:

let's take x= 1.23737......

multiply both sides by 10

10x=12.3737...  eq1

multiply again with 100 on both the sides

1000x = 1237.3737.....eq2

subtract eq1 from eq2

1000x - 10x= 1237.3737.... - 12.3737......

990x = 1225

x = 1225/990

and then reduce it to a ratio

Answer 2

Answer:

1225/990

Step-by-step explanation:

Let x= 1.23737...

Multiply both sides by 10

10x= 12.3737......(1)

Multiply both sides by 100

1000x= 1237.3737......(2)

Subtract (1) from (2)

1000x= 1237.3737...

-10x= 12.3737...

It becomes 990x= 1225

Therefore, x= 1225/990