Fractions•Grade 3•Missing Number

Equivalent Fractions & Comparisons — Grade 3 Practice

Practice recognizing and creating equivalent fractions, comparing fractions with the same numerator or denominator, and expressing whole numbers as fractions using denominators 2, 3, 4, 6, and 8.

CCSSAligned to Common Core 3.NF.3: Explain equivalence of fractions, recognize and generate simple equivalent fractions, compare fractions with the same numerator or denominator, and express whole numbers as fractions.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Find equivalent fractions, compare fractions using >, <, or =, and write whole numbers as fractions.

  1. 1.
    1/2 = ?/4
  2. 2.
    2/3 = ?/6
  3. 3.
    1/4 = ?/8
  4. 4.
    3/6 = ?/2
  5. 5.
    4/8 = ?/4
  6. 6.
    2/4 = ?/8
  7. 7.
    1/3 = ?/6
  8. 8.
    3/4 = ?/8
  9. 9.
    2/6 = ?/3
  10. 10.
    4/6 = ?/3
  11. 11.
    1/2 ___ 3/4
  12. 12.
    2/3 ___ 4/6
  13. 13.
    3/8 ___ 3/4
  14. 14.
    5/6 ___ 5/8
  15. 15.
    2/4 ___ 1/2
  16. 16.
    1/3 ___ 1/6
  17. 17.
    3/3 = ?/1
  18. 18.
    Write 1 as a fraction with denominator 4.
  19. 19.
    Write 2 as a fraction with denominator 3.
  20. 20.
    Write 1 as a fraction with denominator 8.
  21. 21.
    Write 3 as a fraction with denominator 2.
  22. 22.
    6/6 = ?/2

What this worksheet covers

This is a 22-problem missing number for grade 3 fractions, printed in black and white with the key on page two. Several problems use mixed numbers, which have to be handled without dropping the whole-number part and the blank moves between positions from problem to problem, so no single procedure clears the page. Problems 8 and 15, for instance, are "3/4 = ?/8" and "2/4 ___ 1/2". Common Core 3.NF.3 is the slot this page fills.

Skills practiced

Grade 3 fractions means naming fractions of a whole, equivalent fractions, and comparing like denominators. The skill on the page: equivalent Fractions & Comparisons. Working the page asks a student to work in fractional units and give the answer in lowest terms and reason backwards from a result to a missing part. Seventeen different answers appear across the 22 problems, so a student cannot copy one result down the page.

About the missing number format

Each of the 22 problems has a blank, and the blank is not always at the end: problem 8, "3/4 = ?/8" puts it where the student has to reason backwards. A missing numerator or a missing factor asks the student to think about the fraction relationship in reverse.

Set A, Set B and Set C

Set A is the original sheet; Sets B and C redraw each problem with the same shape and recomputed answers. Where Set A's problem 12 is "2/3 ___ 4/6", Set B's is "2/3 ___ 4/6".

How to use this worksheet

Give this missing number uninterrupted. At grade 3, fractions is where procedure and recall have to run at the same time, and 22 problems done in fragments hide which of the two is the problem. Print Set B of this fractions missing number before writing on Set A; the same skill worked twice a week apart tells you far more than once.

One mistake to watch for

A larger denominator is taken to mean a larger fraction: 1/8 is judged bigger than 1/4. On this grade 3 missing number, problem 14 ("5/6 ___ 5/8") is the kind of item where it shows.

Whole-number thinking — eight is more than four — is being applied to the size of the pieces.

Fold a strip into fourths and another into eighths and compare one piece of each; more pieces means smaller pieces.

The full guide to teaching fractionsTeaching fractions from equal shares to rational numbers: the grade 1–8 progression, why the number line matters, and the misconceptions that persist for years.

Other grade 3 fractions formats

The same skill in the other formats available at this grade.

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Missing Number sheets in other grade 3 topics

Print as many copies of this grade 3 fractions missing number as you need; Sets A, B and C and their keys are six separate PDFs, all free.

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