NDSA Grade 5 Number and Operations—Fractions. Practice it free.

Adds, subtracts, multiplies, and reasons with fractions in real-world contexts. This Grade 5 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 55.NF1 mapped skills
What the test measures

Number and Operations—Fractions skills

  1. Add and subtract fractions with unlike denominators using equivalent fractions.

  2. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

  3. Interpret a fraction as division of the numerator by the denominator and solve word problems involving division of whole numbers leading to fractional answers.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.

Blueprint & weighting

An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.

Practice by skill

Topics mapped to this domain

Adding and subtracting fractions

Grade 5210 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 68+48\dfrac{6}{8} + \dfrac{4}{8}?

68+48=54\dfrac{6}{8} + \dfrac{4}{8} = \dfrac{5}{4}.

Practice playeasy

What is 58−38\dfrac{5}{8} - \dfrac{3}{8}?

Same denominator: 5−38\dfrac{5 - 3}{8}. Result: 14\dfrac{1}{4}.

Practice playeasy

What is 36+23\dfrac{3}{6} + \dfrac{2}{3}?

LCD is 6: 36+46=76\dfrac{3}{6} + \dfrac{4}{6} = \dfrac{7}{6}.

Practice playeasy

What is 12−15\dfrac{1}{2} - \dfrac{1}{5}?

LCD is 10: 510−210=310\dfrac{5}{10} - \dfrac{2}{10} = \dfrac{3}{10}.

Practice playeasy

What is 12+34\dfrac{1}{2} + \dfrac{3}{4}?

LCD is 4: 24+34=54\dfrac{2}{4} + \dfrac{3}{4} = \dfrac{5}{4}.

Practice playeasy

What is 68−13\dfrac{6}{8} - \dfrac{1}{3}?

LCD is 24: 1824−824=512\dfrac{18}{24} - \dfrac{8}{24} = \dfrac{5}{12}.

Practice playeasy

What is 26+16\dfrac{2}{6} + \dfrac{1}{6}?

26+16=12\dfrac{2}{6} + \dfrac{1}{6} = \dfrac{1}{2}.

Practice playeasy

What is 67−27\dfrac{6}{7} - \dfrac{2}{7}?

Same denominator: 6−27\dfrac{6 - 2}{7}. Result: 47\dfrac{4}{7}.

Keep practicing

Turn number and operations—fractions into game time.

The NDSA placement starts with this test's real coverage map and finds the right difficulty.

Sprout RowPlay →Horseshoe Toss game coverHorseshoe TossPlay →
Related Common Core standards
5.NF.A.1
Number and Operations—Fractions in other NDSA grades
Grade 4
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NDSA prepOfficial test source
Reporting categories

More Grade 5 domains

Number and Operations in Base TenUses place-value understanding to perform operations with multi-digit whole numbers and decimals to thousandths.8 QsPractice →Measurement and DataConverts units and represents data, while developing volume concepts.8 QsPractice →GeometryClassifies and graphically represents figures in the coordinate plane and on the plane.8 QsPractice →