Math Drill Pages

Equivalent Fractions Worksheet

Twenty-four missing-number problems with equivalent fractions. In Part A students find the missing numerator, as in 3/4 = ?/12. In Part B they find the missing denominator. Every problem multiplies the top and bottom by the same number, from 2 to 5.

Grade
Grade 3–4
Problems
24
Time
About 15 minutes
Standard
3.NF.A.3b, 4.NF.A.1
Download PDF (US Letter) Download PDF (A4)

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

Worksheet preview

Part A: Find the numerator Fill in the missing number.

  1. 12=48
  2. 34=68
  3. 12=36
  4. 23=46
  5. 23=812
  6. 25=615
  7. 12=24
  8. 13=26
  9. 15=210
  10. 35=610
  11. 45=1215
  12. 14=312
  13. 34=912
  14. 16=318
  15. 25=410
  16. 13=515

Part B: Find the denominator Fill in the missing number.

  1. 34=1216
  2. 15=315
  3. 14=28
  4. 23=1015
  5. 14=416
  6. 56=1012
  7. 16=212
  8. 23=69

Tips for teachers and parents

  • Ask: what was the bottom number multiplied by? Then multiply the top number by the same thing.
  • In Part B, look at the top numbers first to find the multiplier, then apply it to the bottom.
  • Show why it works with a fraction strip: cutting every fourth into three equal pieces turns 3/4 into 9/12 without changing the amount.
  • Students who know their times tables will find this sheet quick. If facts are slow, keep a multiplication chart nearby.

Common mistakes

  • Adding instead of multiplying, for example 2/3 = 6/7 because 3 + 4 = 7. Equivalent fractions always multiply (or divide) both numbers by the same amount.
  • Multiplying only the bottom number and copying the top number across.

What to practice next

Adding fractions with like denominators is the next step; equivalent fractions become essential when the denominators are different.

Frequently asked questions

What are equivalent fractions?

Fractions that name the same amount, like 1/2, 2/4 and 4/8. You get one from another by multiplying the numerator and denominator by the same number.

What grade is this for?

Late grade 3 and grade 4. Grade 3 introduces simple equivalent fractions; grade 4 explains why multiplying top and bottom by the same number works.

Is there an answer key?

Yes, page 2 has every missing number filled in.