VTCAP Grade 4 Number and Operations – Fractions. Practice it free.

Grade 4 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: 10-16 points (20-31% of the grade 4 test). This Grade 4 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 44.NF1 mapped skills
What the test measures

Number and Operations – Fractions skills

  1. Extend understanding of fraction equivalence and ordering

  2. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

  3. Understand decimal notation for fractions, and compare decimal 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

Fraction equivalence and simplification

Grade 4217 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Fill in: 24=□8\dfrac{2}{4} = \dfrac{\square}{8}.

Multiply numerator and denominator by 2: 2×24×2=48\dfrac{2 \times 2}{4 \times 2} = \dfrac{4}{8}.

Practice playeasy

Simplify 416\dfrac{4}{16} to lowest terms.

GCF of 4 and 16 is 4: 4÷416÷4=14\dfrac{4 \div 4}{16 \div 4} = \dfrac{1}{4}.

Practice playeasy

Find the equivalent fraction: 67=?14\dfrac{6}{7} = \dfrac{?}{14}.

Multiply top and bottom by 2: 6×27×2=1214\dfrac{6 \times 2}{7 \times 2} = \dfrac{12}{14}.

Practice playeasy

Which fraction is equivalent to 23\dfrac{2}{3}?

Multiply both parts of 23\dfrac{2}{3} by 4: 812\dfrac{8}{12}.

Practice playeasy

Fill in: 15=□25\dfrac{1}{5} = \dfrac{\square}{25}.

Multiply numerator and denominator by 5: 1×55×5=525\dfrac{1 \times 5}{5 \times 5} = \dfrac{5}{25}.

Practice playeasy

Simplify 2032\dfrac{20}{32} to lowest terms.

GCF of 20 and 32 is 4: 20÷432÷4=58\dfrac{20 \div 4}{32 \div 4} = \dfrac{5}{8}.

Practice playeasy

Find the equivalent fraction: 57=?28\dfrac{5}{7} = \dfrac{?}{28}.

Multiply top and bottom by 4: 5×47×4=2028\dfrac{5 \times 4}{7 \times 4} = \dfrac{20}{28}.

Practice playeasy

Which fraction is equivalent to 25\dfrac{2}{5}?

Multiply both parts of 25\dfrac{2}{5} by 2: 410\dfrac{4}{10}.

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
4.NF.A.1
Number and Operations – Fractions in other VTCAP grades
Grade 5
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All VTCAP prepOfficial test source
Reporting categories

More Grade 4 domains

Operations and Algebraic ThinkingGrade 4 Operations and Algebraic Thinking standards; reported as the 'Operations and Algebraic Thinking' performance indicator. Blueprint target: 10-16 points (20-31% of the grade 4 test).8 QsPractice →Measurement and DataGrade 4 Measurement and Data standards; reported jointly with geometry as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 6-10 points (12-20% of the grade 4 test).8 QsPractice →