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1.13 Fractions: division of mixed numerals

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Division using mixed numerals

To divide using mixed numerals, convert to fraction notation. Remember to divide fractions; you need to multiply by the reciprocal. Then multiply across numerators and multiply across denominators. If your answer is an improper fraction, the numerator is larger than the denominator, convert the improper fraction to a mixed numeral. Remember that if you are given the problem as a mixed numeral, you want to provide the answer as a mixed numeral.

Example 1: divide 16 ÷ 2 2/5

Remember to convert 2 2/5 to an improper fraction, (2*5+2)/5 = 12/5

16/1 ÷ 12/5 = 16/1 * 5/12 =(16 * 5)/(1* 12) = (4 * 4 * 5)/(4 * 3) =4/4 * (4 * 5)/3 = 1 * 20/3=20/3 = 6 2/3
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Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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