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Division of fractions is closely related to multiplication, with one key exception: you need to invert the divisor and change the division sign to multiplication. This guide explains how to approach division problems involving fractions, detailing the steps to convert mixed numbers and the importance of not canceling before inverting. Learn how to interpret word problems and identify when to apply these rules effectively. Master the art of fraction division for better mathematical proficiency.
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Unit 9 Division of Common Factors
Division of fractions is very similar to multiplication of fractions with one • exception. Take the divisor and invert it then change the sign to a sign • and multiply the two fractions. • There is no in a word problem making it hard to tell which fraction to invert. • A division problem can always be written as. • Dividend Divisor = Quotient • Hints: • Replace the word divided by with • Other problems can be thought of as a number of equal things. It is the number of equal things or the value of the equal things that becomes the divisor.
When dividing with mixed numbers, always convert the mixed numbers to fractions before dividing. Be careful not to cancel until after you have inverted!
Use the following guidelines when dividing common fractions: • Invert the fraction after the sign and change the sign to a sign. • After inverting, treat the problem as a multiplication problem. • Do not cancel before inverting.
