Question

Express decimal in p/q form :- 2.8777....​

Answer 1

Step-by-step explanation:

Let the p/q form be x.

x = 2.87777...

By multiplying 10 both sides,

10x = 28.7777... ---- (i)

By multiplying 100 both sides,

100x = 287.7777... ---- (ii)

Now, Subtracting equation (i) from (ii),

100x-10x = 287.7777... - 28.7777...

=> 90x = 259

=> x = 259/90.

So, the required p/q form will be 259/90.

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