Multiplying Fractions Worksheets: By Whole Numbers
Show multiplication by a whole number as repeated copies of a fraction.
Teaching notes for parents and teachers
How to teach it
Use matching fraction strips to make the required number of copies. Count the pieces and discuss an equivalent simplified answer.
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.
Show three groups of three fourths. Each strip below represents a whole of the same size. Every whole has four equal parts, and three parts in each strip are shaded.
Count the shaded fourths: 3 + 3 + 3 = 9 fourths. Each piece is still one fourth of a whole. The product is 3/4 × 3 = 9/4 = 2 1/4, not 9/12. Eight fourths make two wholes, with one fourth left.
Ask your student
How many pieces of this size do all the copies contain?
If your student needs help
If the student multiplies the denominator by the whole number, point out that the piece size has not changed.
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
Check that the size of each fraction part stayed the same. Accept equivalent mixed numbers, and distinguish a correct product from a product that still needs simplifying.
Calculation practiceAdding Fractions With Like Denominators
Add equal-sized parts; simplify sums that may be greater than one.
12 problems · Answer key included
Calculation practiceSubtracting Fractions With Like Denominators
Take away equal-sized parts of the same whole and simplify the difference.
12 problems · Answer key included
More about multiplication · Grade 4 worksheets
Grade 4 selected skill connection: 4.NF.B.4.a–b (selected proper-fraction times whole-number practice). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.