NY State Math Grades 3–8 Number and Operations—Fractions. Practice it free.

The test asks students to develop understanding of fractions as numbers and to apply fraction equivalence, operations, and word problems. This Grades 3–8 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grades 3–81 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 operations on whole numbers

  3. Understand decimal notation for fractions and compare decimal fractions

  4. Apply and extend previous understandings of multiplication and division to fractions

Standards basis

New York State Learning Standards / New York State Next Generation Learning Standards (NGLS) — New York

How the NY State Math reports it

New York’s Grades 3–8 math tests and Regents math exams are state-developed assessments rather than a shared national framework. The grades 3–8 exams are aligned to New York State learning standards, and the Regents math sequence includes Algebra I, Geometry, and Algebra II, with the June 2026 Algebra II exam explicitly based on the New York State Next Generation Learning Standards.

Blueprint & weighting

Grades 3–8: the official page and the retrieved administration guide describe item/credit structure and timing, but no published domain-by-domain blueprint weighting was located in the primary sources used here. Regents (high school): NYSED publishes a per-conceptual-category 'percent of test by credit' blueprint for each course in its Educator Guides. Algebra I — Number & Quantity 4%–10%, Algebra 48%–61%, Functions 24%–32%, Statistics & Probability 7%–15%. Geometry (single conceptual category, by domain) — Congruence (G-CO) 27%–34%, Similarity, Right Triangles, & Trigonometry (G-SRT) 29%–37%, Circles (G-C) 2%–8%, Expressing Geometric Properties with Equations (G-GPE) 12%–18%, Geometric Measurement & Dimensions (G-GMD) 2%–8%, Modeling with Geometry (G-MG) 8%–15%. Algebra II — Number & Quantity 4%–8%, Algebra 30%–39%, Functions 38%–45%, Statistics & Probability 14%–22%.

Practice by skill

Topics mapped to this domain

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 NY State Math placement starts with this test's real coverage map and finds the right difficulty.