Express 5.23 (bar is on 23) as p/q where p and q are integers and q is not equal to 0
Answers
Answer:
this is your answer bro .
Answer:
0.
2
=
9
2
Which is of the form p/q where p , q are integers and q ≠ 0
Given :
The number \displaystyle \sf{ 0. \overline{2} }0.
2
To find :
To express in the form p/q where p , q are integers and q ≠ 0
Solution :
Step 1 of 2 :
Write down the given number
The given number is \displaystyle \sf{ 0.\overline{2} }0.
2
Step 2 of 2 :
Express in the form p/q where p , q are integers and q ≠ 0
\displaystyle \sf{ Let \: \: x = 0. \overline{2} }Letx=0.
2
Then x = 0.222222... - - - - - - - (1)
Multiplying both sides by 10 we get
10x = 2.222222... - - - - - - (2)
Equation 2 - Equation 1 gives
9x = 2
\displaystyle \sf{ \implies x = \frac{2}{9} }⟹x=
9
2
\displaystyle \sf{ \implies x = \frac{2 }{9} }⟹x=
9
2
\displaystyle \sf{ \therefore \: \: 0. \overline{2} = \frac{2}{9}}∴0.
2
=
9
2
Which is of the form p/q where p , q are integers and q ≠ 0
Correct question : Express \displaystyle \sf{ 0.\overline{2} }0.
2
in the form of p/q,where p and q are integers and q is not equal to zero
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