Answer:
[tex]\frac{91}{22}[/tex]
Step-by-step explanation:
Given: 4.1363636...
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...
100x=413.63636 .....
We can write it in term of x
100x=x+409.5
On subtracting both sides by x
100-x=409.5
99x = 409 .5
On dividing both sides by 99
x=[tex]\frac{409.5}{99}[/tex]
x=[tex]\frac{4095}{990}[/tex]
x=[tex]\frac{819}{198}[/tex]
On dividing both number by 9
x=[tex]\frac{91}{22}[/tex]
Therefore, x =[tex]\frac{91}{22}[/tex]
