Question

express 3.777... in the form of p/q

Answer 1

Let x = 3.777........ --------(1)

10x = 37.777.........---------(2)

On subtracting equation (1) from (2), we get

9x = 34

=> x = 34/9

$x = 3 \frac{7}{9}$

Answer 2

Given,

• 3.777777____ is given.

To find,

• We have to express 3.777___ in the form of p/q.

Solution,

We can simply express 3.777__ in the form of p/q.

   Let us assume x = 3.777___    (1)

Now, multiply by 10 on both sides, we get

                           10x = 37.777____   (2)

Now, subtract (1) from (2), we get

                              (2)-(1)

                             9x = 34

                               x  = 34/9

Hence, 3.777__ in the form of p/q can be expressed in 34/9.