Math Drill Pages

Mixed Numbers to Improper Fractions Worksheet

Twenty-four conversion problems for grade 4. In Part A students change mixed numbers like 3 2/3 into improper fractions. In Part B they go the other way, turning fractions like 25/6 into mixed numbers. Every fraction part is already in simplest form.

Grade
Grade 4
Problems
24
Time
About 20 minutes
Standard
4.NF.B.3b
Download PDF (US Letter) Download PDF (A4)

Two pages: the worksheet, then the answer key. No sign-up needed.

Worksheet preview

Part A: Mixed number to improper fraction Write each mixed number as an improper fraction.

  1. 323=113
  2. 415=215
  3. 513=163
  4. 3110=3110
  5. 2310=2310
  6. 212=52
  7. 223=83
  8. 156=116
  9. 278=238
  10. 5310=5310
  11. 512=112
  12. 1110=1110

Part B: Improper fraction to mixed number Write each improper fraction as a mixed number.

  1. 256=416
  2. 358=438
  3. 65=115
  4. 245=445
  5. 185=335
  6. 125=225
  7. 136=216
  8. 158=178
  9. 73=213
  10. 83=223
  11. 438=538
  12. 175=325

Tips for teachers and parents

  • For Part A, ask how many parts are in each whole. In 3 2/3 each whole is 3 thirds, so 3 wholes are 9 thirds, plus 2 more makes 11/3.
  • The shortcut is whole × denominator + numerator, over the same denominator. Teach it after students understand why it works.
  • For Part B, divide the top number by the bottom number. The quotient is the whole number and the remainder is the new numerator.
  • Students can check any answer by converting it back the other way.

Common mistakes

  • Adding the whole number to the numerator without multiplying, for example 3 2/3 = 5/3.
  • Writing the quotient as the numerator in Part B. The remainder goes on top, and the denominator stays the same.

What to practice next

Adding and subtracting fractions with like denominators uses these conversions for sums and differences greater than 1.

Frequently asked questions

How do you turn a mixed number into an improper fraction?

Multiply the whole number by the denominator, add the numerator, and put the result over the same denominator. For 2 3/4, 2 × 4 + 3 = 11, so the answer is 11/4.

How do you turn an improper fraction into a mixed number?

Divide the numerator by the denominator. For 25/6, 25 ÷ 6 = 4 remainder 1, so the answer is 4 1/6.

Is there an answer key?

Yes, page 2 has all 24 answers.