Question

Express each of the following decimals in the form p/q (i) 0.621bar​

Answer 1

Step-by-step explanation:

suppose x= 0.621bar

1000*x= 0.621...*1000

1000x = 621.621621....

1000x-x = 621.621... - 0.621...

999x = 621

x= 621/999

x = 308/333 is the answer

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Answer 2

Answer:-

Let x = 0.621621621...... [Equation 1]

Here periodicity is 3. Multiply 100 on both the sides.

100 × X = 100 × 0.621621621.....

=> 100x = 621.621621621.....[Equation 2]

[Now subtract Equation 1 from Equation 2]

100x = 621.621621621.....

- x = 0.621621621.....

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99x = 621

$x = \frac{621}{99}$

Therefore the p/q form of 0.621.. = 621/99