Question

What is 4.1363636... as a fraction?

Answer 1

To write 4.1363636 as a fraction you have to write 4.1363636 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
4.1363636 = 4.1363636/1 = 41.363636/10 = 413.63636/100 = 4136.3636/1000 = 41363.636/10000 = 413636.36/100000 = 4136363.6/1000000 = 41363636/10000000

And finally we have: 
4.1363636 as a fraction equals 41363636/10000000

Answer 2

Answer:

x =  $\frac{91}{22}$.

Step-by-step explanation:

Given :  4.1363636...

To find : Write as fraction .

Solution : We have given that  

Let   x  = 4.1363636...

We can see number 36 ( 2 digit repeating ) so we will multiply it by 100

On multiplying both sides by 100

100x = 100 *  4.1363636...

100 x = 413 .63636 .....

We can write it in term of x

100 x = x + 409 .5

On subtracting both sides by x

100 - x = 409 .5

99 x = 409 .5

On dividing both sides by 99

x = $\frac{409.5}{99}$.

x =  $\frac{4095}{990}$.

x =  $\frac{819}{198}$.

On dividing both number by 9

x =  $\frac{91}{22}$.

Therefore, x =  $\frac{91}{22}$.