The number $1 . ¯ ¯¯ ¯ 27$ in the form $p / q$ , where $p$ and $q$ are integers and $q \neq 0$ , is:

Open in App

Solution

Let $x = 1 . ¯ ¯¯ ¯ 27 = 1.272727$ ….(i)
$\Rightarrow 100 x = 127.2727$ …(ii)
Subtracting equation (i) from equation (ii), we get
$99 x = 126$
$\Rightarrow x = \frac{126}{99}$
$= \frac{14}{11}$

Suggest Corrections

Similar questions

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

The number $¯ ¯ ¯ 3$ in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ , is

The number $0.3 ¯ 2$ in the form $p / q$ , where $p$ and $q$ are integers and $q \neq 0$ , is

Show that 1.272727...=1.27 can be expressed in the form of p/q,where p and q are integers and q≠0

Write the number $0. ¯ ¯¯¯¯ ¯ 35$ in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ , is

Join BYJU'S Learning Program