How to Divide Mixed Numbers: Step-by-Step Math Tutorial

Converting Mixed Numbers to Improper Fractions

• 💡 To divide mixed numbers, the first step is to convert each mixed number into an improper fraction.
• 🎯 For the first example, 8 and 2/3 is converted by keeping the denominator (3) and calculating the new numerator: (8 * 3) + 2 = 26, resulting in 26/3.
• 📌 Similarly, 3 and 1/4 is converted by keeping the denominator (4) and calculating the new numerator: (3 * 4) + 1 = 13, resulting in 13/4.

Applying the Keep-Change-Flip Method

• 🔑 After converting to improper fractions, the division problem is transformed into a multiplication problem using the Keep-Change-Flip method.
• 🚀 The first fraction (26/3) is kept the same, the division sign is changed to multiplication, and the second fraction (13/4) is flipped to become 4/13.
• 🧩 In the second example, 3 and 1/2 becomes 38/5, and 1 and 1/2 becomes 7/2. Applying Keep-Change-Flip results in (38/5) * (2/7).

Simplifying and Finalizing the Answer

• 🧮 For the first example, the problem becomes (26/3) * (4/13). Notice that 26 is divisible by 13. Simplifying yields (2 * 4) / (3 * 1), resulting in 8/3.
• 📈 To convert the improper fraction 8/3 back to a mixed number, divide 8 by 3. The quotient is 2 with a remainder of 2, giving the final answer of 2 and 2/3.
• 🌟 For the second example, multiplying across (38/5) * (2/7) gives 76/35. Converting this to a mixed number by finding the highest multiple of 35 under 76 (which is 70) results in 2 and 6/35.