How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Multiply straight across | Multiply the numerators. Multiply the denominators. 2/3 × 3/4 = 6/12. |
| Simplify | 6/12 divides by 6 on the top and the bottom: 1/2. Cancelling a shared factor before multiplying gives the same answer. |
| A whole number | 3 × 2/5 = (3 × 2)/5 = 6/5, which is 1 1/5. The whole number is the numerator of a fraction over 1. |
| Of means multiply | 1/2 of 3/4 is 1/2 × 3/4. Taking a fraction of a fraction makes a smaller fraction. |
| Mixed numbers | Write the mixed number as a fraction greater than 1, then multiply. 2 1/2 = 5/2. |
Worked example
Find 2/3 × 3/4.
- 1Multiply the numerators: 2 × 3 = 6.
- 2Multiply the denominators: 3 × 4 = 12. The product is 6/12.
- 3Divide the numerator and the denominator by 6.
- 42/3 × 3/4 = 1/2.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- A whole number times a fraction Worksheets, version 1Worksheet PDFAnswer key PDF
- A whole number times a fraction Worksheets, version 2Worksheet PDFAnswer key PDF
- A whole number times a fraction Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 5th grade math (fractions) and aligned to CCSS 5.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 is the answer smaller than both fractions?
- 2/3 × 3/4 means 2/3 of 3/4. A part of a fraction is smaller than the fraction you started with. Multiplying by a number greater than 1 is what makes an answer grow.
- Should my child cancel before multiplying?
- Either order works. Cancelling a 3 from 2/3 × 3/4 leaves 2/1 × 1/4 = 2/4, then 1/2. Multiplying first to get 6/12 and then simplifying ends at the same fraction.
- 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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