Advertisements
Advertisements
Question
\[23 . \bar{{43}}\] when expressed in the form \[\frac{p}{q}\] (p, q are integers q ≠ 0), is
Options
\[\frac{2320}{99}\]
\[\frac{2343}{100}\]
\[\frac{2343}{999}\]
\[\frac{2320}{199}\]
Advertisements
Solution
Given that `23.overline43`
Now we have to express this number into the form of `p/q`
Let
\[x = 23 . 43\]
\[x = 23 + 0 . 4343 . . . \]
\[x = 23 + \frac{43}{99}\]
\[x = \frac{2277 + 43}{99} = \frac{2320}{99}\]
`⇒ 23.overline43 = 2320/99`
APPEARS IN
RELATED QUESTIONS
Visualise 3.765 on the number line, using successive magnification.
Represent `sqrt6,` `sqrt7,` `sqrt8` on the number line.
The number 0.318564318564318564 ........ is:
Every point on a number line represents
\[0 . 3 \bar{2}\] when expressed in the form \[\frac{p}{q}\] (p, q are integers q ≠ 0), is
\[0 . \bar{{001}}\] when expressed in the form \[\frac{p}{q}\] (p, q are integers, q ≠ 0), is
The smallest rational number by which`1/3`should be multiplied so that its decimal expansion terminates after one place of decimal, is
Represent the following number on the number line:
7.2
Represent the following number on the number line:
`(-12)/5`
Represent geometrically the following number on the number line:
`sqrt(8.1)`
