MAST Grade 5 Division with Fractions. Practice it free.

Students divide unit fractions and whole numbers and solve real-world problems involving fractions and quotients. This Grade 5 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 5Testlet 81 mapped skills
What the test measures

Division with Fractions skills

  1. Apply understanding of division to divide a unit fraction by a whole number and a whole number by a unit fraction.

  2. Solve real-world problems and assess the reasonableness of the solution by dividing fractions and by representing the quotient of two whole numbers as a fraction.

  3. Standards: 5.NF.3, 5.NF.7, 5.NF.7.a, 5.NF.7.b, 5.NF.7.c, 5.MD.2

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Practice by skill

Topics mapped to this domain

Data on line plots

Grade 519 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Four beakers hold 12\tfrac{1}{2}, 12\tfrac{1}{2}, 14\tfrac{1}{4}, and 34\tfrac{3}{4} liters. If the liquid is shared equally among the 4 beakers, how much is in each?

Total =12+12+14+34=2= \tfrac12+\tfrac12+\tfrac14+\tfrac34 = 2 liters. Shared among 4: 2÷4=122 \div 4 = \tfrac12.

Practice playeasy

A line plot shows the lengths of ribbons in inches: 3 ribbons at 18\tfrac{1}{8} and 1 ribbon at 58\tfrac{5}{8}. What is the total length of ribbon?

3×18+58=38+58=88=13 \times \tfrac{1}{8} + \tfrac{5}{8} = \tfrac{3}{8} + \tfrac{5}{8} = \tfrac{8}{8} = 1 inch.

Practice playeasy

A line plot (in cups) shows 2 at 14\tfrac{1}{4}, 1 at 12\tfrac{1}{2}, 1 at 34\tfrac{3}{4}. What is the total amount of liquid?

Multiply each value by its count, then add: total =74= \tfrac{7}{4}.

Practice playeasy

A line plot (in cups) shows 3 at 12\tfrac{1}{2}, 1 at 14\tfrac{1}{4}. What is the total amount of liquid?

Multiply each value by its count, then add: total =74= \tfrac{7}{4}.

Practice playeasy

A line plot (in cups) shows 2 at 34\tfrac{3}{4}, 2 at 14\tfrac{1}{4}. What is the total amount of liquid?

Multiply each value by its count, then add: total =21= \tfrac{2}{1}.

Practice playeasy

A line plot (in cups) shows 2 at 18\tfrac{1}{8}, 2 at 38\tfrac{3}{8}, 1 at 12\tfrac{1}{2}. What is the total amount of liquid?

Multiply each value by its count, then add: total =32= \tfrac{3}{2}.

Practice playeasy

A line plot (in cups) shows 2 at 23\tfrac{2}{3}, 2 at 13\tfrac{1}{3}. What is the total amount of liquid?

Multiply each value by its count, then add: total =21= \tfrac{2}{1}.

Practice playeasy

A line plot (in cups) shows 4 at 14\tfrac{1}{4}, 2 at 12\tfrac{1}{2}. What is the total amount of liquid?

Multiply each value by its count, then add: total =21= \tfrac{2}{1}.

Keep practicing

Turn division with fractions into game time.

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

Balloon Pop Math game coverBalloon Pop MathPlay →Beam Team game coverBeam TeamPlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →
Related Common Core standards
5.MD.B.2
Source and test overview
All MAST prepOfficial test source
Reporting categories

More Grade 5 domains

Place Value and Powers of TenStudents use the base-ten multiplicative relationship and explain patterns when multiplying or dividing by powers of ten.8 QsPractice →Multiply and Divide Whole NumbersStudents multiply whole numbers using the standard algorithm and divide whole numbers using place-value and properties-based strategies.8 QsPractice →Add and Subtract FractionsStudents add and subtract fractions with unlike denominators and apply those skills to real-world problems, including line-plot data.8 QsPractice →Multiply FractionsStudents interpret fraction multiplication in multiple ways and use it to multiply fractions, mixed numbers, and whole numbers.8 QsPractice →Unit Cubes and Cubic UnitsStudents understand volume and show that volume of a right rectangular prism can be found by counting unit cubes and by multiplying edge lengths.8 QsPractice →Solve Volume ProblemsStudents find the volume of right rectangular prisms and composite rectilinear figures in mathematical and real-world problems.8 QsPractice →