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nathansnyder200
29.05.2021 •
Mathematics
Convert the recurring and noterminating decimals to fraction 2.3455555555
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Ответ:
Work Shown:
x = 2.34555555555
100x = 234.555555555
1000x = 2345.555555555
1000x-100x = 2345.555555555-234.555555555
900x = 2111
x = 2111/900
Notes:
In step 2, I multiplied both sides by 100 to move the decimal point two spots to the right. Step 3 is a similar idea, but the decimal point moves 3 spots to the right. This is done so that we have the infinite string of '555...' be after the decimal point.In step 4, the terms subtract, and in the next step, the infinite string of '555...' cancels out. So that's why steps 2 and 3 happened to help set this up.You can use your calculator to confirm that 2111/900 = 2.3455555... Your calculator is likely to round that last 5 into a 6. The answer in bold is an improper fraction. If you need to convert to a mixed number, then that value would be 2 & 311/900Ответ:
sir mam. see you want....... ......