Question

express the following in the form of p/q where pand q are integers and q is not equal to 0
1) 2.373737
2) 2.357357​

Answer 1

1) Let :- 2.373737.. = x - eqn 1

We have to multiply 10with x as the repeating blocks has 2 digits

= 10x = 10 × 2.373737..

= 10x = 237.3737.... -eqn 2

Substracting eqn 1 from eqn 2

= 10x - x = 237.37....-2.373737...

= 9x = 235

= x = 235 /9

It may help u...

Answer 2

Answer:

x= 0.23737....= 47/198

Explanation :

Let x = 0.2373737....----(1)

Multiply (1) by 10, we get

10x = 2.373737...----(2)

Multiply (2) by 100, we get

1000x = 237.373737...---(3)

Subtract (2) from (3) , we get

=> 990x = 235

=> x = 235/990

=> x = (5×47)/(5×198)

After cancellation, we get

=> x = 47/198 [ p/q form ]

Therefore,

x= 0.23737....= 47/198

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