Question

express 3.651(bar on 51) form of p/q​

Answer 1

Answer:

Let x = 3.651515151.......  ____(i)

Multiplying 10 to both sides of the equation (i), we get

10x = 36.515151....... ___(ii)

Multiplying 100 to both sides of the equation (ii), we get

1000x = 3651.515151....... ___(iii)

Now,

Subtracting equation (ii) from equation (iii), we get

1000x = 3651.515151.......

-    10x =    36.515151........

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990x =   3615.0000......

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⇒ 990x = 3615

⇒ x = 3615 ÷ 990

$\bf \therefore x= \frac{3615}{990}$

Answer 2

Answer:

Let x = 3.651515151....... ____(i)

Multiplying 10 to both sides of the equation (i), we get

10x = 36.515151....... ___(ii)

Multiplying 100 to both sides of the equation (ii), we get

1000x = 3651.515151....... ___(iii)

Now,

Subtracting equation (ii) from equation (iii), we get

1000x = 3651.515151.......

- 10x = 36.515151........

----------------------------------------

990x = 3615.0000......

----------------------------------------

⇒ 990x = 3615

⇒ x = 3615 ÷ 990

$\bf \therefore x= \frac{3615}{990}$