Worked Example 1
Sharing a Fraction
12 of a pizza is shared equally by 3 friends. How much does each friend get?
- 1Divide: 12 ÷ 3.
- 2Splitting a half into 3 equal parts makes sixths.
- 312 ÷ 3 = 16.
Answer: 16 of the pizza
Florida Grade 5 Math · Algebraic Reasoning
MA.5.AR.1.3: Unit fraction division 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.1.3?
In Grade 5, students solve real-world problems that divide a unit fraction by a whole number (sharing a fraction) or a whole number by a unit fraction (finding how many fraction-sized pieces fit).
Sharing 12 of a pizza among 3 friends gives each a smaller piece (16). Finding how many 13-cup servings are in 4 cups gives a bigger number (12).
Official benchmarkSolve real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.
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
How Many Servings?
A bag has 4 cups of rice. Each serving is 13 cup. How many servings are there?
- 1Divide: 4 ÷ 13.
- 2Each cup has 3 servings.
- 34 × 3 = 12.
Answer: 12 servings
Common Mistakes to Watch For
Dividing in the wrong order
Wrong:4 ÷ 13 = 112
The question asks how many 13-cup servings fit in 4 cups, so the answer must be more than 4: 12.
Multiplying when the story is sharing
Wrong:12 shared by 3 = 32
Sharing makes each piece smaller: 12 ÷ 3 = 16.
Helpful Math Tip
Ask whether the answer should be bigger or smaller than the starting amount. Sharing a fraction gives smaller pieces; counting fraction-sized pieces gives a bigger count.
Related Grade 5 Skills
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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.