Question

Express 0.477777........in p/q form where p and q are integers and q is not equal to zero

Answer 1

Answer:

        43 / 90

Step-by-step explanation:

    x = 0.4777...

⇒  10x = 4.777...  and  100x = 47.777...

⇒  90x = 47.777... - 4.777... = 43

⇒  x = 43/90

Answer 2

Given,

• 0.477777__is given.

To find,

• We have to express 0.477777__in p/q form where p and q are integers and q is not equal to zero.

Solution,

We can simply express 0.477777__in p/q form where p and q are integers and q is not equal to zero.

             Let us assume x = 0.4777____     (1)

Now, multiply by 10 on both sides, we get

                                       10x = 4.777____  (2)

Now, multiply by 10 on both sides, we get

                                100x = 47.777__          (3)

Now, subtract (2) from (3), we have

                                  (3)-(2)

                                   90x = 43

                                       x = 43/90

Hence, 0.47777__ in p/q form where p and q are integers and q is not equal to zero can be expressed as 43/90.