Convert Fractions and Decimals

Got a calculator? Then let’s travel to the land of fractions and decimals.  To be clear never think that a calculator is a way out of getting out of knowing what you are doing!  As a math teacher I can’t tell you how many students trusted their calculators only to discover the pain of a poor test or quiz grade.  However calculators are great “tools” to save time and obtain accurate answers.   Now to our topic of fractions and decimals.  If you want to convert a fraction to a decimal just divide the numerator (the top number in the fraction) by the denominator (the bottom number) see the example below.  To convert a decimal to a fraction is a little more tricky.  First if a decimal never ends like .782390128634…. we call this a non-terminating decimal and it means we can’t convert it to a fraction.  However decimals that end like .3 we can convert to a fraction.  The key to convert a decimal to a fraction is to know how to read the place values in a decimal.  So in our example .3 is this same as “three tenths”.  By reading the decimal as a word like “three tenths” we can write an equivalent fraction.  So in this case “three tenths” is equal to 3/10. we say the decimal and fraction form the same way.  Remember fractions and decimals are everywhere in algebra so you need to master them to be an ace math student.


some key topics that involve fractions and decimals:

* basic math
* number operations
* percent
* order of operations
* real numbers

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