How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Same multiplier | Multiply the numerator and the denominator by the same number. 2/3 = (2 × 4)/(3 × 4) = 8/12. |
| Same divisor | Divide the numerator and the denominator by a common factor. 8/12 = (8 ÷ 4)/(12 ÷ 4) = 2/3. |
| Why it stays the same | Multiplying the top and the bottom by 4 cuts each piece into 4 and takes 4 times as many. The amount does not change. |
| Simplest form | Keep dividing by a common factor until the only common factor is 1. 6/8 = 3/4. |
| Tenths and hundredths | 1/2 = 5/10 = 50/100. The same rule covers decimals written as fractions. |
Worked example
Find the missing numerator: 2/3 = ?/12.
- 1Ask what 3 was multiplied by to make 12. 3 × 4 = 12.
- 2Multiply the numerator by the same number: 2 × 4 = 8.
- 32/3 = 8/12.
- 4Check by simplifying 8/12. Divide the top and the bottom by 4 to get back to 2/3.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Missing denominator Worksheets, version 1Worksheet PDFAnswer key PDF
- Missing denominator Worksheets, version 2Worksheet PDFAnswer key PDF
- Missing denominator Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 4th grade math (fractions) and aligned to CCSS 4.NF.A.1. 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.
- Is 8/12 wrong if the simplest form is 2/3?
- 8/12 and 2/3 are the same amount. The missing-number problems ask for the numerator or denominator that makes the denominators match. The simplest-form problems ask for 2/3.
- Why can 1/2 be 50/100?
- 100 is 2 × 50, so multiply the numerator by 50 as well: 1/2 = 50/100. That is the hundredths way to write one half, the same amount as 0.50.
- 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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