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SfC Home > Arithmetic > Explanation of Dividing Fractions - Succeed in Arithmetic. Also refer to mathematics, math, maths, multiply, convert, improper, operation, Ron Kurtus, School for Champions. Copyright © Restrictions Dividing Fractionsby Ron Kurtus (11 January 2008) A fraction is a part of the whole or the quotient of two whole numbers. Dividing a fraction by another fraction involves some trickery. You invert the second fraction and then multiply the two fractions. When you are working with a fraction and whole number, the whole number must be converted to a fraction. Likewise, mixed numbers must be changed into improper fractions before the division operation. Questions you may have are:
This lesson will answer those questions. There is a mini-quiz near the end of the lesson. Dividing one fraction by anotherThe way to divide one fraction by another fraction is to simply invert or flip the fraction you are dividing by (the second fraction) and then multiply the two fractions together. The following example demonstrates this method:
Another example is:
Exercises
Dividing fraction and whole numberSometimes you encounter a division problem with a fraction and a whole number. Divide fraction by whole numberWhen you divide by a whole number, you can put the number in the form of an improper fraction and then flip it over. You take the whole number and show it as divided by 1, such as 7 = 7/1. An example of dividing a fraction by a whole number is:
Divide a whole number by a fractionYou can also divide a whol number by a fraction in the same manner. Change the whole number into a fraction over 1 and then flip the fraction you are dividing by.
Dividing with mixed numbersWhen you divide using mixed numbers, you need to change the mixed number into a fraction first. Divide a mixed number by a fraction
Divide a fraction by a mixed number
Divide a mixed number by a mixed number
SummaryDividing a fraction by another fraction involves inverting the second fraction that you are dividing by and then multipling the two fractions. When you are working with a fraction and whole number, the whole number must be changed to an improper fraction. Likewise, mixed numbers must be changed into improper fractions before the division operation. Learn some clever tricks ResourcesThe following resources provide information on this subject: WebsitesBooksMiscellaneousMini-quiz to check your understanding1. What is 2/3 ÷ 3/2? 2. What is 1/5 ÷ 7? 3. What is 1 1/5 ÷ 2 1/2? If you got all three correct, you are on your way to becoming a Champion in Arithmetic. If you had problems, you had better look over the material again. What do you think?Do you have any questions, comments, or opinions on this subject? If so, send an email with your feedback. We will try to get back to you as soon as possible. Share linkFeel free to establish a link from your website to pages in this site. Or use our form to send this link to yourself or a friend. Students and researchersThe Web address of this page is Please include it as a reference in your report, document, or thesis. Where can you go from here?
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