Every sheet of multiplying fractions by whole numbers worksheets on this page is built the moment you open it, so the 20 problems below are not the same ones the last visitor printed, and the answer key is generated with them. The version loaded below opens with items in the shape of 7 × 1/2 and 10 × 1/2; the key lists 7/2 and 5 next to their question numbers.
‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.
Multiplying fractions is mechanically the easiest fraction operation — multiply the tops, multiply the bottoms — which is why 7 × 1/2 gives 7/2 in a single step with no common denominator anywhere.
The difficulty is conceptual rather than procedural. The product of two proper fractions is smaller than either of them — 5 is smaller than both parts of 10 × 1/2 — and that contradicts everything multiplication has meant until now.
The word 'of' is the key to reading these problems in real contexts: half of a third means the same as half times a third, and 10 × 1/2 gives 5 in exactly the same way.
This sheet uses a whole number times a proper fraction and answers are reduced, so simplification is part of every problem.
These multiplying fractions by whole numbers worksheets are commonly aligned with the fraction multiplication expectations for this grade, and the skill appears in most curricula somewhere around this point.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | 7 × 1/2 = | 7/2 | Watch for: converting to decimals unnecessarily |
| 2 | 10 × 1/2 = | 5 | Check: multiplying a whole number by only the denominator |
| 3 | 10 × 2/6 = | 10/3 | Look at: forgetting to simplify |
| 4 | 5 × 6/8 = | 15/4 | Ask about: cross-cancelling incorrectly |
| 5 | 4 × 1/8 = | 1/2 | Watch for: expecting the answer to be bigger |
| 6 | 6 × 1/4 = | 3/2 | Check: looking for a common denominator |
Take the first problem on the sheet as it stands, 7 × 1/2. Work 7 × 1/2 out on paper rather than in your head the first few times, say each step aloud, and check the result against 7/2 on the key before moving on.
Work 5 × 6/8 out loud as a demonstration. It gives 15/4. Children who hear 5 × 6/8 reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.
The answer key is generated with the worksheet, not written by hand, so it always matches the sheet in front of you — 7 × 1/2 is listed as 7/2, 10 × 1/2 as 5, and so on down the page.
Keys are produced by the same code that produces the questions, so a mismatch between question and answer is not possible on these sheets.
Printing works the same on US Letter and A4, because the layout uses relative widths rather than fixed inches. Set margins to default and scaling to 100%, and all 20 problems fit.
To save these multiplying fractions by whole numbers worksheets instead of printing them, choose 'Save as PDF' in the printer list. You get the worksheet and the answer key as a single PDF, on Letter or A4 depending on your printer settings.
Keep the finished multiplying fractions by whole numbers worksheets in date order — the drop in time across ten sheets is the clearest progress report you will get.
Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13