# Arithmetic/Percents Decimals and Fractions

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## Conversions between percents, decimals and fractions

The perhaps easiest way to convert from:

Decimal to fractions is by simply moving the period over 2 and putting it over a 100

(ex) Express .50 as a fraction

```   .500   = 50.0 = 50/100 = 1/2
. >. (this means the moving of the dot)
```

usually the best way to set it all up is the following

```                             ------------------------------
| fraction | Decimal | percent |
|    ?     |   ?     |   50%   |
------------------------------
(move 2 to the right)    <--   x       -->(move dot over 2 to the right)
(and put over 100)
```
```When converting decimal to fraction                  When converting from decimal to percent
always be sure it has 2 place to the                 this always works
right of the (.)                                     ? = 50.% if its not known, do the "reverse"
(ex)   .5 = .50   = ? =  50                         .50 <--.
.-->   ---  ---
100  100
```

When reading decimals, it is similar to verbalizing a fraction. For example, 0.2 is spelled out as "two-tenths", hence 2/10, which simplifies to 1/5. What if you had the real number 0.002? Same principle: "two-thousandths" implies 2/1000, which reduces to 1/500.

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