Question

Express 3.5bar in pbyq form

Answer 1

Answer :-

• p/q form of 3.5 (bar on 5) is 32/9.

Given :-

• 3.5 (bar on 5).

To Find :-

• p/q form of this.

Solution :-

Let

• x = 3.5 (bar on 5)

Then

• x = 3.5555...... i)
• 10x = 35.5555...... ii)

Subtract i) from ii)

⇒ 10x - x = 35 - 3

⇒ 9x = 32

⇒ x = 32/9

Hence, the p/q form of 3.5 (bar on 5) is 32/9.