Question

Write o.5555... in the form of p/q​

Answer 1

Given:

• A non - terminating repeating rational number 0.55555 .

To Find:

• The value of 0.555555 in the form of p/q .

Answer:

Let us take x = 0.5555555... ............ (1)

Then 10x = 5.555555......... ...........(2)

Now (2) - (1) .

⇒ 10x - x = 5.5555.... - 0.555555 .

⇒ 9x = 5

⇒x = 5/9

★ Hence 0.55555... = 5/9 ★ .

Answer 2

Answer:

Answer, p/q = 5/9

Step-by-step explanation:

Let x =0.55555..... (1)

multiplying 10 on both side,

10x = 5.555.... (2)

Subtracting (1) & (2),

10x -x = 5.555... - 0.5555....

9x =5

x =5/9

0.555... =5/9