2.161616 as fraction and as a mixed number

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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x =   , mixed fraction

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 = .

x = .

Mixed fraction :

Therefore, x =   , mixed fraction

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.