# 0 . 3 ¯ 2 When Expressed in the Form P Q (P, Q Are Integers Q ≠ 0), is - Mathematics

MCQ

$0 . 3 \bar{2}$ when expressed in the form $\frac{p}{q}$ (p, q are integers q ≠ 0), is

#### Options

• $\frac{8}{25}$

• $\frac{29}{90}$

• $\frac{32}{99}$

• $\frac{32}{199}$

#### Solution

Given that 0.3overline2

Now we have to express this number into p/qform

Let X = $0 . 3 \bar{2}$

10 x = 3+ 0.2222

⇒10x = 3 +2/9

⇒10x = 29/9

⇒ x = 29/90

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Q 15 | Page 41