4th Grade Math · Multiply a Fraction by a Whole Number
Mixed practice Worksheets
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How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Groups of a fraction | 4 × 1/5 means 4 groups of one fifth: 1/5 + 1/5 + 1/5 + 1/5 = 4/5. |
| Multiply the numerator | 3 × 2/7 = (3 × 2)/7 = 6/7. The denominator stays the same. |
| Order does not matter | 2/7 × 3 is the same as 3 × 2/7. |
| More than one whole | 4 × 2/3 = 8/3. 8 thirds is 2 wholes and 2 thirds left over: 2 2/3. |
| Whole numbers | 6 × 2/3 = 12/3 = 4, because 12 thirds make 4 wholes. |
Worked example
Find 4 × 2/3. Write the answer as a mixed number.
- 1Multiply the whole number by the numerator: 4 × 2 = 8. Keep the denominator: 8/3.
- 23 thirds make 1 whole, so 8 thirds is 2 wholes (6 thirds) and 2 thirds left over.
- 34 × 2/3 = 2 2/3.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Mixed practice Worksheets, version 1Worksheet PDFAnswer key PDF
- Mixed practice Worksheets, version 2Worksheet PDFAnswer key PDF
- Mixed practice Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 4th grade math (fractions) and aligned to CCSS 4.NF.B.4. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet code printed at the bottom of each page pairs a sheet with its key.
- Why doesn't the denominator get multiplied too?
- The denominator names the size of the pieces. Multiplying by 3 makes three times as many pieces of the same size, so only the number of pieces, the numerator, changes.
- My child wrote 8/3 instead of 2 2/3. Is that wrong?
- 8/3 and 2 2/3 are the same amount. The mixed-number section asks for 2 2/3 to practise converting, but 8/3 shows the multiplication is right.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.
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