This interactive Grade 6 practice worksheet guides students through the Keep-Change-Flip (KCF) algorithm for dividing fractions and mixed numbers. Problems are organized into four clearly labeled sections that build in complexity, giving students a visible sense of their own progression. As the students enter correct answers, they will see parts of an image revealing.
Students begin with fraction divided by fraction, then advance through whole number divided by a fraction, fraction divided by a whole number, and finally division involving mixed numbers. For each of the 16 problems, the worksheet displays the division equation and a KCF step-helper showing the rewritten multiplication form - so students can focus their energy on computing and simplifying the final answer. Input cells are highlighted in yellow, and students enter their answers as separate numerator and denominator fields to keep all work in fraction form.
Pre-Requisites
- Understanding of fractions as parts of a whole
- Multiplying fractions (numerator times numerator, denominator times denominator)
- Simplifying fractions using GCF
- Converting between mixed numbers and improper fractions
Key Features
- Auto-graded numerator and denominator inputs for every problem
- KCF step-helper hint shown for each problem so students see the rewritten multiplication form
- Four progressive sections with clear labels
- Optional randomization generates unique number sets per student while guaranteeing clean, simplified answers
Best Used After
Assign this worksheet after introducing the Keep-Change-Flip algorithm and practicing fraction multiplication. It works well as independent practice or homework following direct instruction.
Learning Standards
- 6.NS.A.1 - Interpret and compute quotients of fractions; solve word problems involving division of fractions
- 6.NS.B.4 - Find greatest common factor and use to simplify fractions to lowest terms
In this worksheet, students will apply the Keep-Change-Flip algorithm to divide fractions across four problem types: fraction divided by fraction, whole number divided by fraction, fraction divided by whole number, and mixed number division. Students will use the provided KCF step-helper to rewrite each division expression as a multiplication problem before computing the result. Students will simplify all 16 answers to lowest terms and enter final answers as separate numerator and denominator values. Students will monitor their own progress using the live summary tracker at the bottom of the worksheet.
This worksheet supports randomization. Each student will receive a unique set of fraction division problems with different numbers, while the four-section structure and difficulty progression stay exactly the same for everyone - making copying answers between students ineffective.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
