Question

2.161616 as fraction and as a mixed number

Answer 1

Answer:

x =  $\frac{214}{99}$ , 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 = $\frac{214}{99}$.

x = $\frac{214}{99}$.

Mixed fraction : $2\frac{16}{99}$

Therefore, x =  $\frac{214}{99}$ , mixed fraction [tex]2\frac{16}{99}[/tex]

Answer 2

2.161616 as a fraction is 2 161616/1000000 in simplest form its 2 10101/62500