Converting Fractions to decimal

Arithmetic and Geometric progressions.

Converting Fractions to decimal

Postby Jonasmathwork » Mon Jul 01, 2013 5:50 am

Convert [3/9] to decimal form. Please solve this problem i have to answer in my school.

Thanks in advance .................
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Re: Converting Fractions to decimal

Postby adamsmith » Sun Aug 11, 2013 1:04 pm

[tex]\frac{3}{9}[/tex] Of decimal form is 0.3333

Learn more about Convert a Fraction to a Decimal http://goo.gl/ERd9XH

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Re: Converting Fractions to decimal

Postby Nelson143 » Thu Nov 13, 2014 8:27 am

William started working for a company on 1 January 2003 with an annual salary of 15000 dollar. Every January, the company increases his salary by 6% of he previous year's salary. Calculate his annual salary, to nearest dollar, for the year 2008.



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Re: Converting Fractions to decimal

Postby leesajohnson » Tue Jul 12, 2016 5:29 am

0.333 is the decimal form for 3/9.

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Re: Converting Fractions to decimal

Postby Guest » Fri May 31, 2019 11:30 am

No, 3/9= 1/3 is NOT "0.333". 0.333= 333/1000 which is close to 1/3 but not equal to it. The decimal form of 1/3 can be written as [tex]0.333...[/tex] or [tex]0.33\overline{3}[/tex]. The "..." and the overline ([tex]\overline{3}[/tex] indicate that the "3" repeats without stopping.
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Re: Converting Fractions to decimal

Postby Guest » Sun Jun 09, 2019 6:46 am

Nelson143 wrote:William started working for a company on 1 January 2003 with an annual salary of 15000 dollar. Every January, the company increases his salary by 6% of he previous year's salary. Calculate his annual salary, to nearest dollar, for the year 2008.



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What does this have to do with "converting fractions to decimals"? Please do not "hijack" another person's thread to ask an unrelated question. Start your own thread.
In 2003 his salary was \$15000. In 2004, it was increased by 6% 0f that, 0.06(15000), so was (1.06)(15000). In 2005 it was increased by 6% of that so was [tex](1.06)[(1.06)(15000)= (1.06)^2(15000)[/tex], etc. In 2008, which is 2008- 2003= 5 years later, it will have been "increased by 6%" 5 times so will be [tex](1.06)^5(15000)[/tex] dollars.
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Re: Converting Fractions to decimal

Postby HallsofIvy » Fri Jan 15, 2021 6:42 pm

leesajohnson wrote:0.333 is the decimal form for 3/9.

That's not exactly true. 3/9 is 1/3. 0.333 is 333/1000 which is slightly less than 1/3.

To get exactly 1/3 you need to indicate that the decimal continues infinitely. You might indicate that by 0.333..., where the ... indicates the repetition, or by [tex]0.33\overline{3}[/tex], where the overline indicates the repeating digit.

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