Worked Example 1
Equal Groups of a Fraction
A recipe uses 23 cup of flour per batch. How much flour is needed for 5 batches?
- 15 groups of 23: 5 × 23 = 103
Answer: 103 cups
Florida Grade 4 Math · Algebraic Reasoning
MA.4.AR.1.3: Fraction Multiplication Word Problems
What this Grade 4 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.4.AR.1.3?
Students solve real-world problems that multiply a fraction by a whole number, or a whole number by a fraction, and write stories to match equations. Fractions are less than one.
For example, if a cup holds 25 pound of soil and Ken uses 8 cups, he uses 8 × 25 = 165 pounds. Answers do not need to be simplified.
Official benchmarkSolve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.
On the FAST test: part of the Grade 4 reporting category Number Sense and Operations with Fractions and Decimals, which is about 31–37% of the test.
Worked Examples
Worked Example 2
A Fraction of a Group
15 of the 30 students in a class ride bikes to school. How many students ride bikes?
- 1Split 30 into 5 equal groups: each group is 6.
- 215 × 30 = 6
Answer: 6 students
Common Mistakes to Watch For
Multiplying the denominator
Wrong:5 × 23 = 1015
5 groups of 2 thirds is 10 thirds: 103 cups.
Multiplying by the denominator instead of finding a part
Wrong:15 of 30 is 30 × 5 = 150.
One fifth of 30 is one of 5 equal groups: 30 ÷ 5 = 6.
Helpful Math Tip
Act it out with measuring cups: fill a 13 cup several times and count how many thirds you used.
Related Grade 4 Skills
Make Florida Math Practice More Fun
Help your child build math confidence with original interactive questions aligned with Florida's B.E.S.T. Mathematics Standards.
Start Practicing FreeIndependent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.