NH SAS Grade 4 Number and Operations—Fractions. Practice it free.

Builds fraction equivalence, comparison, and operations with like denominators and unit fractions. 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

Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual fraction models
Compare two fractions with different numerators and denominators
Build fractions equivalent to a given fraction by decomposing and composing
Add and subtract fractions with like denominators; solve word problems involving fractions
Apply understanding of unit fractions to multiply a fraction by a whole number

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Official sources

New Hampshire Department of Education – Assessments
Common Core State Standards for Mathematics
CCSS-M Grade 3 (Oregon ODE reprint)

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

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

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

Practice playeasy

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

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

Practice playeasy

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

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

Practice playeasy

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

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

Practice playeasy

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

GCF of 4 and 16 is 4: $\dfrac{4 \div 4}{16 \div 4} = \dfrac{1}{4}$ .

Practice playeasy

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

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

Practice playeasy

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

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

Practice playeasy

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

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

Keep practicing

Turn number and operations—fractions into game time.

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

Sprout RowPlay →

Horseshoe Toss game cover

Horseshoe TossPlay →

Related Common Core standards

Number and Operations—Fractions in other NH SAS grades

The same skills on other tests

i-Ready AASA ACAP ATLAS

Source and test overview

All NH SAS prep Official test source

Reporting categories

More Grade 4 domains

Measurement and DataSolves measurement problems and interprets line plots with fractional units.8 QsPractice →