Study Guide — 5.NF.A.1
Add and subtract fractions with unlike denominators (including mixed…
Add and subtract fractions with like denominators and connect to unit fraction understanding.
What this standard means
- Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
- Apply add and subtract fractions with unlike denominators (including mixed… with models and explanation
- Adds/subtracts like-denominator fractions with models
_See printable PDF for diagram._
How to use the 20 practice sets
| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |
Pacing: 10–15 minutes per session.
How to practice
1. Draw models before adding numerators 2. Keep denominators the same when adding parts 3. Simplify answers when appropriate
_See printable PDF for diagram._
Common mistakes
- Adding denominators
- Forgetting the whole context
Review and practice tests
1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 5.NF.A.1.
- [ ] Adds/subtracts like-denominator fractions with models
- [ ] Explains why denominators stay the same
- [ ] Solves simple fraction word problems
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors