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Here is an example: convert 3.121212... to a fraction.
Solution: Call this number "x". Then:
100x = 312.121212...
x = 3.121212...
Subtract the second equation from the first:
99x = 209
Divide both sides by 99:
x = 209/99
Now all that needs to be done is to simplify the resulting fraction. Such numbers are said to be "irrational".
Note 1: If the digits repeat with a period length of 1, multiply by 10; if the period length is 2 (as in this example), multiply by 100, if the period length is 3, multiply by 1000, etc.
Note 2: If the decimals don't repeat, you can't convert exactly into a fraction.
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Are all nonterminating decimals irrational and why?
No, they are not. Recurring decimals are rational.
What can a calculator convert?
A calculator can convert numbers that appear as decimals into numbers that appear as fractions. Fractions are generally considered more easy to use then decimals.
When given a problem with decimals and fractions should you convert them to all decimals or all fractions?
It really doesn't matter whichever one you are more comfortable with. fractions are a bit more challenging to convert.
How is fraction related to decimal?
They can show the same number, just in different ways. You can convert fractions into decimals or decimals into fractions.
How do you compare dissimilar fractions compare the numerator?
Two ways: convert them to decimals or convert them to similar fractions and compare the numerators.
How do you convert fractions to decimals on a ti 85?
I need help in how to convert fractions to decimals
Are all nonterminating decimals irrational and why?
No, they are not. Recurring decimals are rational.
How do you turn decimals into ratios?
Convert them to fractions.
What can a calculator convert?
A calculator can convert numbers that appear as decimals into numbers that appear as fractions. Fractions are generally considered more easy to use then decimals.
When given a problem with decimals and fractions should you convert them to all decimals or all fractions?
It really doesn't matter whichever one you are more comfortable with. fractions are a bit more challenging to convert.
What has the same form as a decimal in a different way?
That might refer to a fraction. In general you can convert decimals to fractions, and fractions to decimals.
How is fraction related to decimal?
They can show the same number, just in different ways. You can convert fractions into decimals or decimals into fractions.
Does a baker need to convert fractions to decimals?
Yes.
How do you compare dissimilar fractions compare the numerator?
Two ways: convert them to decimals or convert them to similar fractions and compare the numerators.
Why is it helpful to convert fractions to decimals or decimals to fractions?
It is important because depending on the problem it is easier to use fractions or decimals. Sometimes the problem is asking for an exact answer, in which case you would keep it in fraction form.
What is a definition for ordering fractions?
to order fractions you can cross multiply two fractions at a time or you can convert all the fractions into decimals.
How do you order fractions and percents from least to greatest?
Convert them to decimals.
