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3 years ago

2.161616 as fraction and as a mixed number

Mathematics

2 answers:

sashaice [31]3 years ago

7 0

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

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

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

Hunter-Best [27]3 years ago

3 0

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

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