411 REFERENCE · Wikibooks
Arithmetic/Percents Decimals and Fractions
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
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.
Previous: ../Grammar/
Next: ../Simple symbolic manipulation/
Return to: Algebra Outline