Dividing Whole Numbers by Unit Fractions Word Problems
Use fraction strips to show how many small pieces fit into a whole-number length.
Teaching notes for parents and teachers
How to teach it
Mark the given unit-fraction length along the full cable. Count the pieces and check their combined length.
Example to work through together
Use the model below as you explain the example. Have your student point to the quantities as you discuss them.
3 ÷ 1/2 = 6 pieces
Count the pieces, not just the three whole feet. Each foot contains two half-foot pieces, so three feet contains three groups of two: six pieces.
Ask your student
How many of these pieces fit in one foot?
If your student needs help
If the student expects division to make the answer smaller, compare the number of pieces with the length being measured.
Make a practice set
Select the worksheet, answer key, or both. When both are selected, the answer key prints after the questions. Keep it separate if you want your student to work independently.
After your student finishes
Ask the child what each number measures. Have them explain how many pieces fit in one foot, then repeat that group for the total length. Check the final count by multiplying it by the length of one piece.
Word problems4 Digit Division Word Problems With and Without Remainders
Find complete groups or cable pieces, and record what is left separately from the quotient.
4 problems · Answer key included
Calculation practiceMultiplying Fractions by Whole Numbers Worksheets
Count repeated groups of equal fraction parts and simplify the product.
6 problems · Answer key included
Word problemsAdding and Subtracting Fractions Word Problems With Unlike Denominators
Use equivalent fractions to combine or remove cable lengths measured against the same one-foot whole.
4 problems · Answer key included
More about division · Grade 5 worksheets
Grade 5 selected skill connection: 5.NF.B.7.b; 5.NF.B.7.c (whole number divided by unit fraction in exact measurement-grouping stories). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.