Find and Correct Calculation Errors
Focus: Mixed Fraction Multiplication and Division. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.
Teaching Notes
Focus: Mixed Fraction Multiplication and Division. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Before You Begin
- Identify addition, subtraction, multiplication, and division.
Teaching Steps for Parents and Teachers
- For an error-correction problem, find the first incorrect step. Explain why it is wrong, then recompute all later steps.
- Evaluate parentheses first.
- Perform multiplication and division from left to right.
- Then perform addition and subtraction from left to right.
Worked Examples
Evaluate (2/3)/(3/4).
- 2 ÷ 3 = 2/3
- 3 ÷ 4 = 3/4
- 2/3 ÷ 3/4 = 8/9
Answer: 8/9
Common Mistakes and How to Help
Do not simply work left to right when different levels of operations appear.
Which operation must be completed first, and why?
Questions to Check Understanding
- Which operation must be completed first, and why?
- Which step explains your answer?
- Can you apply the same reasoning when the numbers change?
Practice Advice
Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.
Next Practice
- Use New Numbers to practice the same skill with different values.
- If the learner needs help, return to the example and model each step before trying again.