How to Divide a Mixed Number by a Fraction: Step-by-Step Guide

Converting Mixed Numbers to Improper Fractions

• 💡 To begin dividing a mixed number by a fraction, first convert the mixed number into an improper fraction.
• 📌 Rewrite the denominator, then multiply the whole number by the denominator and add the numerator to find the new numerator.

Applying the 'Keep, Change, Flip' Method

• 🔄 To convert the division problem into a multiplication problem, use the 'keep, change, flip' strategy.
• ➡️ Keep the first fraction as is, change the division sign to multiplication, and flip the second fraction (reciprocal).

Simplifying and Multiplying Fractions

• 🧮 Before multiplying, check for common factors between the numerators and denominators to simplify the fractions.
• ✖️ Multiply the numerators together and the denominators together to get the resulting improper fraction.

Converting Back to a Mixed Number

• 🔢 To convert the improper fraction back to a mixed number, find the highest multiple of the denominator that is less than the numerator.
• ➕ The result is the whole number part, with the remainder forming the numerator of the fractional part, keeping the original denominator.