Decimals are really fractions whose denominator is a power of 10. We just prefer the decimal notation because it is easier than to write them as fractions. You can also find the decimal form of a fraction by dividing. If you divide 11 by 25 you get 0.44 and then the division ends because you get a remainder of zero. If the decimal form will end after a certain number of digits, you may be able to find the decimal notation easily in another way too. If you multiply numerator and denominator of a fraction times the same number, you get an equivalent fraction.
If the denominator has no other prime factors than 2 and/or 5 (like 2, 4, 5, 8, and 25), you can get an equivalent fraction whose denominator is a power of 10, like 10, 100, 1000, and so on. If you multiply numerator and denominator of your fraction time 4, you get NOTE: If the denominator has prime factors other than 2 and/or 5, the fraction cannot be written as a terminating decimal, but you can find the repeating decimal digits by doing the division. For example, if you divide 5 by 7, you get =0.714285714285714285...... (The 714285 part keeps repeating forever as you continue dividing).
May 13th, 2015
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