Fraction Split Practice Worksheet
Fraction Split Practice
Step-by-Step Mixed Number Division
Name:
Date:
4-Step Action Path Visual Guide: How many groups fit inside?
Step 1
Mixed → Improper
Multiply bottom, add top: \(2\frac{1}{2} = \frac{5}{2}\)
Step 2
Keep • Change • Flip
Change to \(\times\), flip 2nd fraction
Step 3
Multiply Across
\(\frac{\text{top} \times \text{top}}{\text{bottom} \times \text{bottom}}\)
Step 4
Simplify / Whole
Divide to write final answer
1 Guided Model: \(1\frac{1}{2} \div \frac{1}{4} = \) ?
Question: "How many \(\frac{1}{4}\) pieces fit into \(1\frac{1}{2}\)?"
Visual Bar Model (Count the \(\frac{1}{4}\) sections):
1 Whole (4 fourths)
\(\frac{1}{4}\)
\(\frac{1}{4}\)
\(\frac{1}{4}\)
\(\frac{1}{4}\)
\(\frac{1}{2}\) Whole (2 fourths)
\(\frac{1}{4}\)
\(\frac{1}{4}\)
1. Make Improper
\(1\frac{1}{2} = \frac{(1 \times 2) + 1}{2} =\)
3
2
2. Keep • Change • Flip
Keep \(\frac{3}{2}\) • Change to \(\times\) • Flip \(\frac{1}{4}\)
3
2
×
4
1
3. Multiply Across
\(\frac{3 \times 4}{2 \times 1} =\)
12
2
4. Final Answer
\(12 \div 2 =\)
6
2 Your Turn: \(1\frac{1}{3} \div \frac{2}{3} = \)
Follow each box step-by-step
Step 1: Improper
Change \(1\frac{1}{3}\):
3
(Hint: \(1 \times 3 + 1\))
Step 2: Flip (KCF)
Keep • × • Flip \(\frac{2}{3}\):
×
(Flip numerator & denom)
Step 3: Multiply
Top × Top / Bot × Bot:
Multiply straight across
Step 4: Answer
Divide / Simplify:
Write whole number
Remember: Only flip the second fraction! Page 1 of 2
Structured Practice
Apply your 4 steps to solve each problem
Reminder Checklist Improper → K-C-F → Multiply → Simplify
3 \(2\frac{1}{4} \div \frac{3}{4} = \)
Denominator stays 4
1. Improper Fraction
4
2. K • C • F
×
3. Multiply Across
4. Final Answer
4 \(1\frac{2}{5} \div \frac{7}{10} = \)
\(1\frac{2}{5} \rightarrow \frac{5 \times 1 + 2}{5}\)
1. Improper Fraction
5
2. K • C • F
×
3. Multiply Across
4. Final Answer
5 \(1\frac{1}{2} \div \frac{3}{8} = \)
Improper Flip Multiply
Show Your Steps:
×
=
Final Answer
Whole Number
How do you feel about dividing mixed numbers today?
(Circle one)
😟 Need More Help
🙂 Getting Better
🌟 I Can Do It!
Accommodations: Visual chunking, step scaffolds, structured response boxes. Page 2 of 2