Procedure: Dividing Mixed Numbers
Procedure: Dividing Mixed Numbers outlines the two-step process for dividing quantities expressed as mixed numbers: first convert all mixed numbers to improper fractions, then multiply by the reciprocal of the divisor. Covered in Illustrative Mathematics Grade 6, Unit 4: Dividing Fractions, Grade 6 students apply the keep-change-flip (KCF) method after converting. Skipping the conversion step is the most common error, so establishing the convert-first habit is essential.
Key Concepts
To divide quantities given as mixed numbers , you must standardise the format first: 1. Convert mixed numbers to improper fractions ($a\frac{b}{c} = \frac{ac + b}{c}$). 2. Multiply by the reciprocal of the divisor. 3. Simplify or convert back to a mixed number if needed.
Common Questions
How do you divide mixed numbers?
First, convert all mixed numbers to improper fractions. Then multiply by the reciprocal of the divisor (keep-change-flip). Simplify the result.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator and add the numerator: a b/c = (ac + b)/c. For example, 2 3/4 = (2×4+3)/4 = 11/4.
What is the most common mistake when dividing mixed numbers?
Trying to apply keep-change-flip directly to mixed numbers without converting to improper fractions first. Always convert before dividing.
Where is dividing mixed numbers in Illustrative Mathematics Grade 6?
The procedure for dividing mixed numbers is in Unit 4: Dividing Fractions of Illustrative Mathematics Grade 6.
Can you leave the answer as an improper fraction?
Yes, but often the answer is converted back to a mixed number for real-world context. Check what form is expected.