The Number 1 . ¯ 27 in the Form P Q , Where P and Q Are Integers and Q ≠ 0, is - Mathematics

MCQ

The number $1 . \bar{{27}}$ in the form $\frac{p}{q}$ , where p and q are integers and q ≠ 0, is

Options

• $\frac{14}{9}$

• $\frac{14}{11}$

• $\frac{14}{13}$

• $\frac{14}{15}$

Solution

Given that  1.overline27

1.overline27 = 1+27/99

⇒ 1.overline27 = (99+27)/99

⇒ 1.overline27 = 126/99

⇒ 1.overline27 = (126÷9)/(99 ÷ 9)

⇒ 1.overline27 =14/11

Concept: Representing Real Numbers on the Number Line
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Q 13 | Page 41