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About Chanda Walker
Expertise
I can answer word problems involving mathematics at the high school and college level. I particularly enjoy calculus word problems. Please don't just type the math problem without comments. If you don't tell me what problem your having, I can't help.

Experience
Have done word problems as a tutor and as a student of mathematics and physics for years.

Organizations
Sigma Xi

Education/Credentials
Optical Science PhD

Past/Present Clients
I've answered hundreds of questions here at AllExperts.com in algebra, physics and general math sections.

 
   

You are here:  Experts > Science > Math for Kids > Word Problems > Elementary Word Problem

Word Problems - Elementary Word Problem


Expert: Chanda Walker - 3/30/2009

Question
What common fraction is one third of the way from 1/4 to 1/3?

I know that you subtract 1/3 from 1/4 to find the initial difference. Then you
multiply that 1/12 by 1/3 to break up the distance between 1/3 and 1/4 into
thirds? Then you add that 1/36 to 1/4, but I don't understand why. Can you
please explain it, if you have time?

Answer
difference is 1/3 - 1/4
= 4/12 - 3/12
= 1/12

One third of 1/12 = 1/36

1/4 + 1/36 = 9/36 + 1/36 = 10/36= 5/18

Let's do the same problem without fractions.


What integer is one third the distance from between 4 and 16.  The distance between them is 12.  One third of twelve is 4.  4 + 4 = 8.  So 8 is the integer that is one third the distance from 4 toward 16.

If that doesn't help you understand, let me know and I'll try again.  

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