Question

please explain this question how solve this question please help me​

Answer 1

Answer:

$\frac{6}{100}$

hope it helps you

Answer 2

Answer:

1/15

Step-by-step explanation:

Given :-

The decimal number = 0.06, bar on 6

To find :-

Express the given number as a rational number (in p/q form )?

Solution :-

Given decimal number = 0.06 ,bar on 6

Let X = 0.0666... ----------(1)

Since the recurring digit is 6

So ,the periodicity is 1

Then multiply equation (1) with 10 then

=> 10×X = 0.0666...×10

=> 10X = 00.666...

=> 10X = 0.6666... --------(2)

On subtracting equation (1) from equation (2)

=> (2)-(1)

10X = 0.6666...

X = 0.0666...

(-)

_____________

9X = 0.6000...

_____________

=> 9X = 0.6

=> 9X = 6/10

=> 9X = 3/5

=> X = (3/5)/9

=> X = 3/(5×9)

=> X = 3/45

=> X = 1/15

Therefore, 0.06, bar on 6 = 1/15

Answer:-

The rational or p/q form of the given number is 1/15

Used formulae:-

• The number of recurring digits in the decimal number after the decimal is called the periodicity.