VTCAP Grade 5 Number and Operations – Fractions. Practice it free.

Grade 5 Number and Operations – Fractions standards; reported jointly with base-ten work as the 'Number and Operations in Base Ten, Numbers and Operations – Fractions' performance indicator. Blueprint target: 11-15 points (22-29% of the grade 5 test). 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. Use equivalent fractions as a strategy to add and subtract fractions

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

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

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 67−27\dfrac{6}{7} - \dfrac{2}{7}?

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

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}.

Keep practicing

Turn number and operations – fractions into game time.

The VTCAP 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 VTCAP grades
Grade 4
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All VTCAP prepOfficial test source
Reporting categories

More Grade 5 domains

Number and Operations in Base TenGrade 5 Number and Operations in Base Ten standards; reported jointly with fractions as the 'Number and Operations in Base Ten, Numbers and Operations – Fractions' performance indicator. Blueprint target: 7-13 points (14-25% of the grade 5 test).8 QsPractice →Measurement and DataGrade 5 Measurement and Data standards; reported jointly with geometry as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 10-14 points (20-27% of the grade 5 test).8 QsPractice →GeometryGrade 5 Geometry standards; reported jointly with measurement and data as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 4-8 points (8-16% of the grade 5 test).8 QsPractice →