Answer:
[tex]2\frac{7}{22}[/tex].
Step-by-step explanation:
Given : 2.3181818.
To find : Write as a mixed fraction.
Solution : We have given 2.3181818.
Let the number x = 2.3181818.
Here 2 digits are repeating so we will multiply it by 100 both sides,
100 x = 2.3181818 * 100.
100 x = 231. 8181.
We can write 231. 8181 in form of x .
100 x = 229.5 + 2.31818.
100 x = 229.5 + x
On subtracting both sides by x .
100 x - x = 229.5.
99 x = 229.5
On dividing both sides by 99
x = [tex]\frac{229.5}{99}[/tex].
x = [tex]\frac{2295}{990}[/tex].
x = [tex]2\frac{7}{22}[/tex].
Therefore, [tex]2\frac{7}{22}[/tex].
