Mixed Numbers and Improper Fractions
- Ages 9–11
- Medium
- 2 pages
- Worksheet
- Answer key
- PDF: Letter & A4
- Updated
Tip: download the PDF for Letter or A4 paper, print it at 100% and use a pencil or crayon. Tap "Show solution" to check your answer, or print it as an answer key.
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Sixteen conversions: on the left, eight improper fractions such as 17/5 to write as mixed numbers (17 divided by 5 is 3 remainder 2, so 3 2/5); on the right, eight mixed numbers such as 2 3/4 to write as improper fractions (2 times 4 plus 3 is 11, so 11/4). Children can check one way with the other. Every fraction part is already in its simplest form.
Also try: Equal Parts Worksheet · Fraction Wall (Fraction Bars) · Fraction Number Lines 0 to 1
Tips for this fraction worksheet
- Improper to mixed: divide the top by the bottom; the remainder goes on top.
- Mixed to improper: whole times bottom, plus top, over the same bottom.
- Check each answer by changing it back.
Page 2 of the PDF is the answer key. The fraction number lines show the same fractions as distances from 0 to 1. When this sheet feels easy, move on to the times tables worksheets, which make simplifying quicker. See all fraction worksheets.
For teachers and parents
- What it practises
- Equal parts, halves, thirds and quarters, equivalent and comparing fractions, adding, simplifying and mixed numbers
- How to use it
- Say each fraction in words (“three quarters”). Use folded paper strips or the fraction wall for the first sheets. Answers on page 2.
- Time
- About 10–20 minutes
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Printing tips
- Fold paper strips into halves, quarters and eighths before the first sheet.
- Say fractions in words: “three quarters”, “two fifths”.
- Mark with page 2 and redo the wrong ones the next day.
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