Find worksheets to match this lesson at http://www.mathmammoth.com/fractions_2.php
I explain how to convert fractions into decimals using two basic ideas:
(1) Some fractions can be converted first to equivalent fractions with a denominator 10, 100, 1000 etc. and then from those, into decimals. For example, 2/5 = 4/10 = 0.4.
(2) But most often, to convert a fraction into a decimal, we need to divide the numerator by the denominator (with long division or calculator). For example, to convert 5/7 into a decimal, we simply divide 5 by 7.
This topic is usually studied in sixth or seventh grade math.
Sometimes, when you divide the numerator by the denominator in long division, the decimal you get ends. More often though, it is a non-ending repeating decimal. We see that when in our long division the same remainders keep coming up in the same order.
Such decimals repeat part of their decimal digits, such as 0.13131313.... or 0.83567567567567... (567 repeats)
You might ask if decimals that don't repeat exist. Yes, they do. They are irrational numbers, meaning they are NOT fractions (not rational numbers), and they are quite a fascinating topic in themselves.
Changing fractions into decimals is also explained (along with practice problems) in my book Math Mammoth Fractions 2 at http://www.mathmammoth.com/fractions_2.php - available both as an inexpensive download ($5.75) and as a printed copy.
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Tagged under: fraction,decimal,How-,convert fractions decimals,Seventh Grade (Grade Level),Sixth Grade (Grade Level),fractions,decimals,division,long division,repeating decimal,rational number,Math
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