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terminating decimals -- just use the rules for place settings in the decimal system to write a denominator.

ex. 3.2 --- the 2 is in the tenths place so --- 3 and 2/10 then reduce

ex 5.31 --- the 1 is in the hundredths place so --- 5 and 31/100 etc

Repeating decimals msy be done with a little algebra

ex 3.111111...

let x = 3.111111.... --- since only one digit repeats multiply by 10

so 10x = 31.11111... ---- now subtract the original equation

-x = -3.11111... -- and all the repeating numbers cancel

9 x = 28 ---- divide by 9

x = 28/9 ---- don't really divide reduce the fraction

x = 3 and 1/9

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Q: What are the two ways of turning a decimal to a fraction?
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