Worked Example 1
Adding Mixed Numbers
Maya ran 212 miles on Monday and 134 miles on Tuesday. How far did she run in all?
- 1Combine the distances: 212 + 134.
- 2Common denominator: 224 + 134 = 354.
- 3Regroup: 354 = 414.
Answer: 414 miles
Florida Grade 5 Math · Algebraic Reasoning
MA.5.AR.1.2: Fraction word problems
What this Grade 5 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.5.AR.1.2?
In Grade 5, students solve real-world problems that add, subtract, or multiply fractions, including mixed numbers and fractions greater than 1.
The hardest part is often choosing the operation: combining amounts means add, finding a difference means subtract, and finding a fraction "of" an amount means multiply.
Official benchmarkSolve real-world problems involving the addition, subtraction or multiplication of fractions, including mixed numbers and fractions greater than 1.
On the FAST test: part of the Grade 5 reporting category Number Sense and Operations with Fractions and Decimals, which is about 23–29% of the test.
Worked Examples
Worked Example 2
A Fraction of a Fraction
There is 34 of a pan of brownies. Sam eats 23 of it. How much of the pan does he eat?
- 1"23 of 34" means multiply.
- 223 × 34 = 612 = 12.
Answer: 12 of the pan
Common Mistakes to Watch For
Choosing the wrong operation for "of"
Wrong:23 of 34 = 23 + 34
"Of" a fraction means multiply: 23 × 34 = 12.
Adding the denominators in a word problem
Wrong:23 + 14 = 37
Use a common denominator: 812 + 312 = 1112.
Helpful Math Tip
Draw a quick picture or bar model of the story before choosing the operation. Then check: should the answer be bigger or smaller than the amounts in the problem?
Related Grade 5 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.