Answer:
x = [tex]\frac{819}{598}[/tex].
Step-by-step explanation:
Given : 4.1363636…
To find : Convert it as fraction .
Solution : We have given 4.1363636…
Let x = 4.1363636…
On multiplying both sides by 100
100 x = 100 * 4.1363636…
100 x = 413 .63636...
We can convert it in term of x
100 x = 409 .5 + 4.1363636...
100 x = 409.5 + x
On subtracting both sides by x
100 x -x = 409.5
99 x = 409. 5
On dividing both sides by 99
x = [tex]\frac{409.5}{99}[/tex].
x = [tex]\frac{4095}{990}[/tex].
On dividing both sides by 5
x = [tex]\frac{819}{598}[/tex].
Therefore, x = [tex]\frac{819}{598}[/tex].
