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I need to know how to answer this it hard

I need to know how to answer this it hard-example-1
User Justin Lam
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2 Answers

7 votes

B) 0.18

To convert 2/11 into decimal form, divide 2 by 11 using a calculator or long division.

The result is 0.18181818... (the pattern of 18s repeats indefinitely).

Therefore, 2/11 as a decimal is approximately 0.1818 (rounded to four decimal places).

User Yordan
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8.1k points
5 votes

Answer:

B.
0.\overline{18}

Explanation:

2/11 in decimal form is a set of repeating 18's:

0.181818181818...

This can be represented using bar notation, where digits under the bar repeat infinitely:


0.\overline{18}

__

Extra note:

A trick for fractions with 99 in the denominator is that, when the fraction is converted into a decimal, the numerator of the fraction is the repeating two digits.

In this problem, when we convert 2/11 to 99ths:


(2)/(11) \cdot (9)/(9) = (18)/(99),

we can see that 18 is in the numerator, so that is the repeating part of the decimal
0.\overline{18}.

User Shineeth Hamza
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8.3k points