Answer:
x = [tex]\frac{214}{99}[/tex] , mixed fraction [tex]2\frac{16}{99}[/tex]
Step-by-step explanation:
Given : 2.161616
To find : write as fraction and a mixed number.
Solution : We have given that
2.161616
Let x =2.161616
We can see the number 16 is repeating 2.161616
So, the bar line is over the two digit 16
On multiplying the number both side by 100.
100x = 100 *2.161616
100x =216.1616
We can write the number 216.1616 in term of x
100x = 214 + x
On subtracting both sides by x
100x -x = 214
99x = 214
On dividing both sides by 99
x = [tex]\frac{214}{99}[/tex].
x = [tex]\frac{214}{99}[/tex].
Mixed fraction : [tex]2\frac{16}{99}[/tex]
Therefore, x = [tex]\frac{214}{99}[/tex] , mixed fraction [tex]2\frac{16}{99}[/tex]
In order to write 2.161616 as fraction and as a mixed number, the following logical-mathematical reasoning must be carried out:
Therefore, 2.161616 as a mixed number is 2 10101/62500, and as a fraction is 135101/62500.
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