Dividing Fractions Worksheets
Dividing fractions is the keep, change, flip page: the first fraction stays, the sign becomes multiplication, the second fraction turns over. Both fractions are proper, so many answers are greater than 1 and print as mixed numbers. Twenty problems per page. For fifth and sixth graders and adults refreshing the rule.
Halves to tenths.
About this page
Printing helpStart with a picture: how many halves fit into three quarters? Then let students run the rule on the sheet. Twenty problems take around twenty minutes. Ask them to write the flipped multiplication on its own line so the answer is easy to trace. The key shows only the final quotient in lowest terms, so you will need to look at the working yourself. Talk through a few answers over 1, since students often expect division to give a smaller number. Make five versions for a unit test.
To divide by a fraction is to ask how many of that piece fit in the first one. Because the second fraction is small, the answer is often larger than the first, which surprises children who think division always shrinks numbers. Once the reciprocal rule is understood, the multiplication follows from the earlier page. Mistakes are flipping the wrong fraction or flipping both. Mixed number division and word problems about sharing come afterward.
Up to 6 keeps the numbers small enough to draw. Up to 10 or Up to 12 give larger quotients and more reducing. Twelve problems per page is a sensible limit for a student still learning the steps. Ask a child to estimate first: will the answer be above or below 1? Use Missing number mode to test understanding by asking what the divisor must have been.
- Why are so many answers greater than 1?
- Dividing by a fraction smaller than the dividend gives a quotient over 1. That surprises students who think division always shrinks. The page leans into it so the idea gets discussed.
- Does the key show the flipped multiplication?
- No, only the final quotient in lowest terms. Have students write the keep, change, flip line themselves. The work space under each problem is big enough for it.
- Which fraction do I flip?
- Only the second one, the divisor. The first stays as written. A common slip is flipping both, which returns the original answer upside down. Underline the divisor before flipping it.
Ready-made PDFs
One-click downloads, answer key included, a different puzzle in each.
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