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How do you write [tex]$69 \frac{7}{9}$[/tex] as a decimal?

A. [tex]$69.\overline{1}$[/tex]
B. [tex]$69.8\overline{3}$[/tex]
C. [tex]$69.\overline{72}$[/tex]
D. [tex]$69.\overline{7}$[/tex]

Answer :

To convert the mixed number [tex]\(69 \frac{7}{9}\)[/tex] to a decimal, follow these steps:

1. Break down the mixed number: The mixed number [tex]\(69 \frac{7}{9}\)[/tex] consists of a whole number part (69) and a fractional part ([tex]\(\frac{7}{9}\)[/tex]).

2. Convert the fractional part to a decimal: The fraction [tex]\(\frac{7}{9}\)[/tex] can be converted to a decimal by dividing 7 by 9.
[tex]\[
7 \div 9 = 0.7777\ldots
\][/tex]
This is a repeating decimal and can be represented as [tex]\(0.\overline{7}\)[/tex], where the bar over the 7 indicates that it repeats indefinitely.

3. Combine the whole number and the decimal: Add the whole number part (69) to the decimal part [tex]\(0.\overline{7}\)[/tex].
[tex]\[
69 + 0.\overline{7} = 69.\overline{7}
\][/tex]

So, [tex]\(69 \frac{7}{9}\)[/tex] as a decimal is [tex]\(69.\overline{7}\)[/tex].

The correct option from the choices provided is:
[tex]$69 . \overline{7}$[/tex]

Thanks for taking the time to read How do you write tex 69 frac 7 9 tex as a decimal A tex 69 overline 1 tex B tex 69 8 overline 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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