Write the following fraction as a decimal. If the answer repeats, show that in your answer using the bar above the repeating portion.

[tex]\[
-\frac{2}{33}
\][/tex]

Select an answer:

A. [tex]\(-0.\overline{06}\)[/tex]
B. [tex]\(-0.06\)[/tex]
C. [tex]\(-0.\overline{6}\)[/tex]
D. [tex]\(-0.0606\)[/tex]

Question

30-07-2024
Mathematics

Answered

Write the following fraction as a decimal. If the answer repeats, show that in your answer using the bar above the repeating portion.

[tex]\[
-\frac{2}{33}
\][/tex]

Select an answer:

A. [tex]\(-0.\overline{06}\)[/tex]
B. [tex]\(-0.06\)[/tex]
C. [tex]\(-0.\overline{6}\)[/tex]
D. [tex]\(-0.0606\)[/tex]

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-30T19:54:57-04:00

To convert the fraction [tex]\(-\frac{2}{33}\)[/tex] into a decimal, let's follow these steps:

1. Understand the fraction: We have [tex]\(-\frac{2}{33}\)[/tex], which means dividing [tex]\(-2\)[/tex] by [tex]\(33\)[/tex].

2. Perform the division: When you divide [tex]\(-2\)[/tex] by [tex]\(33\)[/tex], the result is a decimal value.

3. Determine the decimal value: Upon careful division, [tex]\(-2 \div 33\)[/tex] gives us [tex]\(-0.06060606060606061\)[/tex].

4. Identify the repeating portion: You will notice that the decimal [tex]\( -0.06060606060606061 \)[/tex] has the repeating portion after the decimal point. Specifically, the digits "06" repeat indefinitely.

5. Express the repeating portion: To correctly write the repeating decimal, we place a bar over the repeating portion. Hence, [tex]\(-\frac{2}{33}\)[/tex] can be expressed as [tex]\( -0.\overline{06} \)[/tex].

So, the answer to the question is:

[tex]\[ -\frac{2}{33} = -0.\overline{06} \][/tex]

Write the following fraction as a decimal. If the answer repeats, show that in your answer using the bar above the repeating portion.[tex]\[ -\frac{2}{33} \][/tex]Select an answer:A. [tex]\(-0.\overline{06}\)[/tex]B. [tex]\(-0.06\)[/tex]C. [tex]\(-0.\overline{6}\)[/tex]D. [tex]\(-0.0606\)[/tex]

Answer :

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