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

Use equivalent fractions as a strategy to add and subtract fractions, apply and extend previous understandings of multiplication and division of fractions, and develop fraction-related measurement reasoning. This Grade 5 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 51 mapped skills

What the test measures

Number and Operations—Fractions skills

5.NF.A.1 Add and subtract fractions with unlike denominators
5.NF.A.2 Solve word problems involving addition and subtraction of fractions
5.NF.B.3 Interpret a fraction as division of the numerator by the denominator
5.NF.B.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction
5.NF.B.5 Interpret multiplication as scaling
5.NF.B.6 Solve real-world problems involving multiplication of fractions and mixed numbers
5.NF.B.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions

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)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

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 $\dfrac{3}{6} + \dfrac{2}{3}$ ?

LCD is 6: $\dfrac{3}{6} + \dfrac{4}{6} = \dfrac{7}{6}$ .

Practice playeasy

What is $\dfrac{1}{2} - \dfrac{1}{5}$ ?

LCD is 10: $\dfrac{5}{10} - \dfrac{2}{10} = \dfrac{3}{10}$ .

Practice playeasy

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

LCD is 4: $\dfrac{2}{4} + \dfrac{3}{4} = \dfrac{5}{4}$ .

Practice playeasy

What is $\dfrac{6}{8} - \dfrac{1}{3}$ ?

LCD is 24: $\dfrac{18}{24} - \dfrac{8}{24} = \dfrac{5}{12}$ .

Practice playeasy

What is $\dfrac{2}{6} + \dfrac{1}{6}$ ?

$\dfrac{2}{6} + \dfrac{1}{6} = \dfrac{1}{2}$ .

Practice playeasy

What is $\dfrac{6}{7} - \dfrac{2}{7}$ ?

Same denominator: $\dfrac{6 - 2}{7}$ . Result: $\dfrac{4}{7}$ .

Practice playeasy

What is $\dfrac{6}{8} + \dfrac{4}{8}$ ?

$\dfrac{6}{8} + \dfrac{4}{8} = \dfrac{5}{4}$ .

Practice playeasy

What is $\dfrac{5}{8} - \dfrac{3}{8}$ ?

Same denominator: $\dfrac{5 - 3}{8}$ . Result: $\dfrac{1}{4}$ .

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.

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Related Common Core standards

Number and Operations—Fractions in other TCAP grades

The same skills on other tests

i-Ready AASA ACAP ATLAS

Source and test overview

All TCAP prep Official test source

Reporting categories

More Grade 5 domains

Number and Operations in Base TenUnderstand the place value system and perform operations with multi-digit whole numbers and decimals to hundredths.8 QsPractice →Measurement and DataConvert like measurement units within a given measurement system; represent and interpret data; and understand volume.8 QsPractice →GeometryGraph points on the coordinate plane and classify two-dimensional figures into categories based on their properties.8 QsPractice →