Answer:
x = [tex]\frac{91}{22}[/tex].
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 = [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].
We have that the the Representation of 4.1363636 as fraction is
[tex]4.1363636=\frac{517}{125}[/tex]
From the question we are told that:
4.1363636. is in decimal form
Fraction
This is the representation of a number in the format of a numerator and a denominator
Generally, the Representation of 4.1363636 as fraction is mathematically given by
Having defined fractions we have that
[tex]4.1363636 \approx 4.136[/tex]
Therefore
The 4.1363636 as fraction is mathematically given by
[tex]4.1363636=\frac{517}{125}[/tex]
in conclusion
The the Representation of 4.1363636 as fraction is
[tex]4.1363636=\frac{517}{125}[/tex]
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