Question

The value of 2.999...in the form of P by q where p and q are integers and q not equal to zero

Answer 1

Answer:

Step-by-step explanation:

x=2.9-------(1)

Multiply both sides by 10

10x=29.9--------(2)

Now, (2)-(1)

10x-x=29.9-2.9

9x=20

x=20/9

x=2.222222

I hope it helps...

Thank You

Answer 2

The required form $2.999...=\frac{3}{1}$

Step-by-step explanation:

Given : Number 2.999....

To find : Express the value of number in the form of p by q where p and q are integers and q not equal to zero?

Solution :

Let $x=29.999....$ ....(1)

Multiply both side by 10,

$10x=29.999...$ .....(2)

Subtract (1) and (2),

$10x-x=(29.999....)-(29.999.....)$

$9x=27$

$x=\frac{27}{9}$

$x=\frac{3}{1}$

Therefore, $2.999...=\frac{3}{1}$

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