Chemistry, asked by izhaan, 1 year ago

the sum of 0.3 bar and 0.4 bar

Answers

Answered by lekhahasa
12
0.3 bar+0.4 bar=0.7 bar


izhaan: thnx
Answered by Salmonpanna2022
2

Explanation:

 \bf \underline{Given-} \\

 \sf{0. \overline{3} \: and \: 0. \overline{4}} \\

 \bf \underline{To\: find-} \\

\textsf{their sun = ?}\\

 \bf \underline{Solution-} \\

  \sf{Let \: x  = 0. \overline{3} = 0.333.... \:  \:  \:  \:  \:  -  -  -  -  (i)}

  \sf{\therefore \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  10x = 3. \overline{3}  \:  \:  \:  \:  \:  -  -  - (ii)} \\

\textsf{Subtracting Eqⁿ (i) from Eqⁿ (ii), we get}\\

 \sf{9x = 3} \\

 \sf{ \Rightarrow \: x =  \frac{3}{9} } \\

 \sf{ \Rightarrow \:  x =  \frac{1}{3} } \\

 \sf{Again, let  \: y = 0. \overline{4} = 0.444.... \:  \:  \:  \:  \:  \:  -  -  -  - (iii) }

  \sf{\therefore \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  10y = 4. \overline{4}  \:  \:  \:  \:  \:  -  -  - (vi)} \\

\textsf{Subtracting Eqⁿ (iii) from Eqⁿ (iv), we get}\\

 \sf{9y = 4} \\

 \sf{ \Rightarrow \: y =  \frac{4}{9} } \\

 \sf{Now,adding \: both \: the \: value \: of \: 0. \overline{3} \: and \: 0. \overline{4},we \: get} \\

 \sf{ \therefore \:  \: 0. \overline{3} \: and \: 0. \overline{4}} \\

 \sf {= \frac{1}{3}   +  \frac{4}{9} } \\

\textsf{Take the LCM of 3 and 9 is 9.}\\

 \sf {  = \frac{3 + 4}{9}  } \\

 \sf {=  \frac{7}{9} } \\

 \bf \underline{Answer-} \\

  \underline{\bf{Hence,the \: sum \: of \: 0. \overline{3} \: and \: 0. \overline{4}} \: is \:  \frac{7}{9} .} \\

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