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I need help with this problem what fractions are equivalent to 4.05 repeating

I need help with this problem what fractions are equivalent to 4.05 repeating-example-1
User Sharona
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1 Answer

3 votes

Answer:

401/99 and 802/198

Explanation:

Unfortunately the other answer to this question is wrong - you are looking for something equivalent to 4.0505050505050505, not just 4.05.

Typing the answer suggestions into a calculator you get:

405/99 = 4.0909090909 which is incorrect

401/99 = 4.0505050505 which is correct

81/33 = 2.45454545455 which is incorrect

802/198 = 4.0505050505 which is correct

405/100 = 4.05 which is incorrect as it doesn't repeat.

Hopefully this helps, let me know if you have any questions :)

User Numerator
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7.9k points

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