Question

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

Answer 1

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`