TCAP Grade 4 Number and Operations—Fractions. Practice it free.

Extend understanding of fraction equivalence and operations with fractions to the order of fractions and mixed numbers. This Grade 4 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 41 mapped skills
What the test measures

Number and Operations—Fractions skills

  1. 4.NF.A.1 Explain why a fraction a/b is equivalent to (n×a)/(n×b)

  2. 4.NF.A.2 Compare two fractions with different numerators and denominators

  3. 4.NF.B.3 Understand fraction equivalence and ordering

  4. 4.NF.B.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number

  5. 4.NF.C.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100

  6. 4.NF.C.6 Use decimal notation for fractions with denominators 10 or 100

  7. 4.NF.C.7 Compare two decimals to hundredths

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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}.

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}.

Keep practicing

Turn number and operations—fractions into game time.

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