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Can someone help me with this please and explain because i’m confused :)) thanks!

Can someone help me with this please and explain because i’m confused :)) thanks!-example-1

1 Answer

6 votes

Answer: 0.2121...=7/33 ≈943 hits

Explanation:

a.


99n=100n-n\\

Divide both parts of the equation by 99:


\displaystyle\\n=(100n-n)/(99) \\\\n=(100*0.2121...-0.2121...)/(99) \\\\n=(21.2121...-0.2121...)/(99)\\\\n=(21)/(99) \\\\n=(7*3)/(33*3)\\\\n=(7)/(33)

b.


\displaystyle\\200:(7)/(33)=\\\\200*(33)/(7) =\\\\(200*33)/(7)=\\\\(6600)/(7)=\\\\ \approx943

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