CoStudyexam prep that shows its work
Open the study app

All certifications →Educational banks →

Home › Educational › Middle and elementary school › 4th Math: Fractions

4th Math: Fractions practice questions and exam guide

150 multiple-choice questions, 75 flashcards and 10 scenario simulations, written to the Common Core State Standards blueprint. Every question carries a full rationale.

Last reviewed 2026-10-26 · CoStudy · how we write and review questions

  • 235 total items
  • 150 multiple choice
  • 75 flashcards
  • 10 simulations

Study 4th Math: Fractions in CoStudy →

About the 4th Math: Fractions exam

Common Core State Standards (CCSS) — Mathematics, Grade 4: Number & Operations — Fractions (4.NF.A.1-2, 4.NF.B.3-4, 4.NF.C.5-7). Public standards from corestandards.org.

CoStudy's 4th Math: Fractions bank holds 235 items. Every multiple-choice question carries a written rationale explaining why the correct answer is correct and why each distractor is tempting but wrong, and the bank includes 10 scenario-based simulations.

Free 4th Math: Fractions practice questions

A sample of 12 multiple-choice questions from the bank, with the full rationale shown.

Ali has 3/5 lb of nuts, buys 1/5 more. Total?

  1. 3/25 lb
  2. 4/10 lb
  3. 4/5 lb
  4. 2/5 lb

Answer: C — 4/5 lb

C) Correct. B/C/D) miscount.

Compare: 5/6 ___ 7/8 (use common denom 24).

  1. <
  2. >
  3. =
  4. Can't tell

Answer: A — <

5/6 = 20/24; 7/8 = 21/24; 20 < 21. (B),(C),(D) wrong.

8/10 − 3/10 = ?

  1. 11/10
  2. 5/0
  3. 5/10
  4. 5/20

Answer: C — 5/10

C) Correct = 1/2. B) impossible. C/D) wrong.

Add: 0.35 + 0.42 = ?

  1. 7.7
  2. 0.07
  3. 0.77
  4. 0.077

Answer: C — 0.77

C) Correct. B/C/D) wrong.

What is 7/8 − 3/8?

  1. 4/8
  2. 4/0
  3. 10/8
  4. 4

Answer: A — 4/8

A) Correct — subtract the numerators and keep the denominator: 7 − 3 = 4, so 4/8. B) 4/0 has a denominator of zero, which doesn't work. C) 10/8 comes from adding instead of subtracting. D) 4 drops the denominator and keeps only the numerator.

Convert 5 2/3 to improper.

  1. 17/3
  2. 15/3
  3. 10/3
  4. 7/3

Answer: A — 17/3

A) Correct — 5×3+2=17. B/C/D) miscount.

Simplify 6/9.

  1. 3/4
  2. 2/3
  3. 1/3
  4. 6/9

Answer: B — 2/3

B) Correct — divide by 3. B/C) different. D) not simplified.

5 × 2/6 = ?

  1. 2/30
  2. 10/30
  3. 7/6
  4. 10/6

Answer: D — 10/6

D) Correct = 1 4/6 = 1 2/3. B) mult denoms. C/A) wrong.

Ana has 0.4 of a bag; Ben has 0.4. Total?

  1. 0.08
  2. 0.16
  3. 0.44
  4. 0.8

Answer: D — 0.8

D) Correct. B/C/A) wrong.

3 1/4 − 1 3/4 = ?

  1. 2 1/4
  2. 2 2/4
  3. 1 1/4
  4. 1 2/4

Answer: D — 1 2/4

D) Correct — 2 5/4 − 1 3/4 = 1 2/4 = 1 1/2. B/C/A) miscount.

7/100 as a decimal is:

  1. 0.7
  2. 0.07
  3. 7.00
  4. 0.007

Answer: B — 0.07

7/100 = 0.07. (A) is 7/10; (C),(D) wrong magnitude.

3 5/6 + 2 4/6 = ?

  1. 6 1/6
  2. 5 9/6
  3. 6 3/6
  4. 5 3/6

Answer: C — 6 3/6

C) Correct — 3+2+9/6 = 5 + 1 3/6 = 6 3/6 = 6 1/2. B) unsimplified. C/D) miscount.

4th Math: Fractions flashcards

6 sample cards from the 75 in the bank.

Compare 5/8 and 7/12. Which is greater?

5/8. Common denominator (24): 15/24 vs. 14/24 → 5/8 is greater.

What is 5 × 2/3?

10/3 (or 3 1/3).

Compare 2/5 and 3/8. Which is greater?

2/5. Common denominator (40): 16/40 vs. 15/40 → 16/40 is greater.

Word: Maria ate 3/8 of a pizza. Tom ate 2/8 more. What fraction did they eat together?

5/8.

Word: A wall is 1/2 painted blue and 1/4 painted yellow. What fraction is painted?

3/4. (Use common denominator: 2/4 + 1/4 = 3/4.)

What is an 'improper fraction'?

A fraction where the numerator is ≥ the denominator. Like 7/4 or 5/3.

Practise the full 4th Math: Fractions bank

These samples are a small slice. The full bank runs flashcards, multiple choice and timed mock exams with per-chapter progress tracking, on the web and in the iOS app.

Open 4th Math: Fractions →

4th Math: Fractions — frequently asked

What is the 4th Math: Fractions exam?

Common Core State Standards (CCSS) — Mathematics, Grade 4: Number & Operations — Fractions (4.NF.A.1-2, 4.NF.B.3-4, 4.NF.C.5-7). Public standards from corestandards.org.

How is CoStudy’s 4th Math: Fractions bank organised?

It holds 235 items (150 multiple-choice, 75 flashcards, 10 simulations). Free samples on this page include the full rationale, with no account.

Does CoStudy replace the certifying body?

No. the certifying body owns the outline, the badge, and the sitting rules. This is independent practice with written rationales. We do not sell live items and we do not guarantee a pass.

Where do 4th Math: Fractions fees, cut scores, and pass rates live?

On the certifying body’s site. CoStudy will not invent a sitting fee or a pass rate. If a table on this page lacks a citation, treat it as unverified.

Are these real 4th Math: Fractions exam questions?

No. CoStudy does not have live items. The samples below are original practice written to the published outline, with rationales. Anyone selling “real exam dumps” is describing something you should not buy.

Related study guides

Related subjects

Browse professional certification banks →