Question

What is the value of .737373?

Answer 1

Answer:

73/99

( For proof , refer to the attachment ^_^" )

Solution:

Let the given number be x .

Thus,

x = 0.737373.... -----------(1)

Now,

Multiplying both the sides of eq-(1) by 100 ,

We get ;

=> 100x = 100 × 0.737373....

=> 100x = 73.737373.... ----------(2)

Now,

Subtracting eq-(1) from eq-(2) , we have ;

=> 100x - x = 73.737373... – 0.737373...

=> 99x = 73

=> x = 73/99

=> 0.737373... = 73/99

Hence,

Required answer is 73/99 .