Dividing unit fractions: printable worksheets
Divide a unit fraction by a whole number and a whole number by a unit fraction, with models and word problems.
Sample worksheet
The first 4 problems of a real worksheet, made the way the builder makes it. Open it in the builder to change the number of problems, the difficulty and the layout, then print.
1.
2.
3.
4.
Show answers
1.
2.
3.
4.
What students practise
I can describe shapes by their sides and corners and split a shape into equal shares.
Students tell the defining attributes of shapes, put shapes together, and partition circles and rectangles into equal shares named with the words halves, thirds and fourths.
Key words
- half
- one of two equal shares
- third
- one of three equal shares
- fourth (quarter)
- one of four equal shares
- equal shares
- parts that are exactly the same size
- side
- a straight edge of a flat shape
- vertex
- the point where two sides meet
Common mistakes
- Counts the parts without checking that they are the same size.
- Thinks more parts means a bigger share.
Standards
Common Core State Standards this worksheet practises.
- 5.NF.B.7a: Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) divided by 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) divided by 4 = 1/12 because (1/12) x 4 = 1/3. (unverified)
- 5.NF.B.7b: Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 divided by (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 divided by (1/5) = 20 because 20 x (1/5) = 4. (unverified)
- 5.NF.B.7c: Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problems. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? (unverified)
Related topics
- Before this: Adding and subtracting unlike fractions (Grade 5)
- Next: Fractions as division (Grade 5)