Lesson Fractions, Decinmals, and Percentages

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This Lesson (Fractions, Decinmals, and Percentages) was created by by BrittanyM(80) About Me : View Source, Show
About BrittanyM: Math is my hobby, my passion, my life.

Hello Everyone! Today we will be discussing the mathematical relationships between fractions, percentages, and decimals.

We will begin with the basics.
As we all know, 1/2 = 0.5 = 50%
From this, we can see that for any one way of writting the value, there are always two other equivilent forms.

From fractions to decimals is a fairly simplistic concept. We only need to divide the denomonator by the numorator.

From here, we can convert the decimal answer to a percentage. We will first do this by setting up a proportion.
Remember, it's always part over whole. (The part of the fraction over the whole; the part of teh percentage over one-hundred percent)

1%2F2 = x%2F100

So we can use cross multiplication and get

2x = 100
x = 50

Although this method will always work and it's the technically "right" way, we can use a much less time consumeing trick.

Instead of having to set up a proportion and solve for our missiong variable, we can get percentages from decimals by moving back the decimal two places.

EX:
0.5 = 50%
0.25 = 25%
1.36 = 136%
0.326 = 32.6%

And this will always work as well.

We must always to remember to look at percentages as quantities. 100% of a pie is 1 pie. 20% off on a sales tag that reads $10.00 is $2 dollars off. 200% of an apple is 2 apples.

If you have anymore questions about fractions, percentages, or decicimals (or just anything else that's somehow related to mathematics) feel free to e-mail me personally at brittany@flatearthfilms.net.

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