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

Converting Numbers for Division

• 🎯 Whole numbers are rewritten as fractions with a denominator of 1 (e.g., 8 becomes 8/1).
• 💡 Mixed numbers are converted into improper fractions by multiplying the whole number part by the denominator and adding the numerator, keeping the original denominator.

Applying Keep, Change, Flip

• 🔄 The division problem is transformed into a multiplication problem using the keep, change, flip method.
• 🔀 The first fraction (the whole number as a fraction) is kept the same, the division sign is changed to multiplication, and the second fraction (the improper fraction) is flipped.

Multiplying and Simplifying Fractions

• ✖️ After applying keep, change, flip, the numerators are multiplied together, and the denominators are multiplied together to get a new improper fraction.
• 🧮 If no common factors can be canceled before multiplication, the resulting improper fraction is simplified.

Converting Back to Mixed Numbers

• 🔢 To convert the final improper fraction back to a mixed number, find the highest multiple of the denominator that is just under the numerator.
• ➕ This multiple represents the whole number part of the mixed number, and the remainder becomes the new numerator over the original denominator.