July 6th, 2016, 11:02 PM  #1 
Newbie Joined: Feb 2016 From: Phoenix, Arizona Posts: 20 Thanks: 0 Math Focus: Multiplication  Changing Percent to a Workable Form?
Ok so, there is this math example in a math book I borrowed from the library and it has this example that stumps both me and my Fiance. The following is the example they used. 33 1/3% means 33 1/3 x 1/100. First change 33 1/3 to an improper fraction: 100/3. So 33 1/3% = 100/3 x 1/100, or 1/3. That makes no sense to either me or my boyfriend, we are totally lost. 
July 7th, 2016, 02:04 AM  #2 
Senior Member Joined: Apr 2014 From: UK Posts: 800 Thanks: 297 
I'm not a fan of that explanation. Let's try a slightly different approach, tell us which stage you get stuck on: 1) 33 1/3% means (33+1/3) /100 2) 33+1/3 is the same as improper fraction 100/3 3) So, 33 1/3% is (100/3) /100 4) (100/3) /100 is 100/300 is 1/3 Last edited by weirddave; July 7th, 2016 at 02:04 AM. Reason: Typo 
July 7th, 2016, 02:58 AM  #3 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,087 Thanks: 700 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
Your answer is correct. This table might help also make sense of your result (and some others you might get): $\displaystyle \begin{array}{ccc} Fraction & Decimal & Percentage \\ \frac{1}{2} & 0.5 & 50\% \\ \frac{1}{3} & 0.\dot{3} & 33.\dot{3}\%\\ \frac{1}{4} & 0.25 & 25\% \\ \frac{1}{5} & 0.2 & 20\% \\ \frac{1}{6} & 0.1\dot{6} & 16.\dot{6}\% \\ \end{array} $ Note that the dot means 'recurring', so $\displaystyle 0.\dot{3}$ means 0.333333333... Note also that $\displaystyle 0.\dot{3}$ is the same as $\displaystyle \frac{1}{3}$, so some people write $\displaystyle 33.\dot{3} \%$ as $\displaystyle 33 \frac{1}{3} \%$ Last edited by Benit13; July 7th, 2016 at 03:00 AM. 
July 7th, 2016, 07:00 PM  #4 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 371 Thanks: 68 
I will attempt to explain the first line. "Per cent" means "Hundredths" For example 3% means $\displaystyle \frac {3}{100}$ Thus $\displaystyle 33 \frac {1}{3}$% means $\displaystyle \frac {33\frac {1}{3}}{100}$ Or $\displaystyle 33 \frac {1}{3}$% means $\displaystyle 33 \frac {1}{3}$× $\displaystyle \frac {1}{100}$ 
July 8th, 2016, 12:38 AM  #5 
Newbie Joined: Feb 2016 From: Phoenix, Arizona Posts: 20 Thanks: 0 Math Focus: Multiplication  Getting your replies to look like actual fractions.
Hey guys, I really want to know how you got your replies to have numbers that look like real fractions, as apposed to this: 33 1/3%. I would find that very useful in the future and would like to know how to twerk the html to look like that. Thanks in advance. 
July 8th, 2016, 07:40 AM  #6  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,087 Thanks: 700 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
[.MATH] [./MATH] but without the dots. Then, between the tags, you can place LaTeX commands (pronounced "Larteck"). If you're not sure what LaTeX is, it's basically a really nice typesetting standard for writing professional looking journal articles. The commands it has for displaying mathematics are awesome. For example, if you put this in the middle of those tags: \frac{4}{5} you get $\displaystyle \frac{4}{5}$ It's capable of really groovy stuff! For example f'(\theta) = \int_0^5\sin 2\theta \frac{12x^2 + \phi}{\sin\theta \cos\phi} d\theta gives $\displaystyle f'(\theta) = \int_0^5\sin 2\theta \frac{12x^2 + \phi}{\sin\theta \cos\phi} d\theta$ Last edited by Benit13; July 8th, 2016 at 07:42 AM.  
July 8th, 2016, 10:03 AM  #7  
Newbie Joined: Feb 2016 From: Phoenix, Arizona Posts: 20 Thanks: 0 Math Focus: Multiplication  Huh? Quote:
 
July 8th, 2016, 12:39 PM  #8  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,956 Thanks: 800  Quote:
"\sin" gives $\displaystyle \sin$. You could just use "sin" to get $\displaystyle sin$. But most people prefer the look of the first. For Greek letters, use the standard Anglicization preceded by "\". "\theta" gives $\displaystyle \theta$. "\sin 2\theta" gives $\displaystyle \sin 2\theta$. Fractions are done by "\frac{a}{b}": $\displaystyle \frac{a}{b}$. "12x^2+ \phi" gives $\displaystyle 12x^2+ \phi$ and "\sin \theta \cos \theta" gives $\displaystyle \sin \theta \cos \theta$. So "\frac{12x^2+ \phi}{\sin\theta\cos\theta}" gives $\displaystyle \frac{12x^2+ \phi}{\sin\theta\cos\theta}$. As before, "^" gives a super script: "\sin^2(\theta)" gives $\displaystyle \sin^2(\theta)$. And, finally, "d\theta" gives $\displaystyle d\theta$. Of course, each of those is surrounded by "math" and "/math" inside [ ]. Putting these together, "\int_0^5 \sin 2\theta\frac{12x^2+ \phi}{\sin\theta \cos\phi} d\theta" gives $\displaystyle \int_0^5 \sin 2\theta\frac{12x^2+ \phi}{\sin\theta \cos\phi} d\theta$. If your question is about the meaning of the mathematical formula, it doesn't have any! It was given only as a demonstration of the Latex formula.  
July 11th, 2016, 02:38 AM  #9 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,087 Thanks: 700 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
Also, take a look at the mathematics section of this document. It has a lot of information regarding LaTeX https://tobi.oetiker.ch/lshort/lshort.pdf 
July 16th, 2016, 09:07 PM  #10 
Newbie Joined: Feb 2016 From: Phoenix, Arizona Posts: 20 Thanks: 0 Math Focus: Multiplication  What about this math problem?
It says to convert it from a percent to a common fraction. I'm sorry I'm asking about the same type of help with the same type of problem but I didn't understand the explanations given with the first one. 37 1/2% How do I get the common fraction for that. I'm really sorry guys, I have some learning disabilities. 

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