fractions

Multiply & Divide Mixed Numbers

Multiplying Mixed Numbers

The key: Convert both to improper fractions first, then multiply straight across!

1
2½ × 1⅓ = 5/2 × 4/3
2
5 × 4 = 20
3
2 × 3 = 6
4
20/6 = 10/3 = 3⅓

Dividing Mixed Numbers

Use KCF: Keep, Change, Flip - Keep the first, Change ÷ to ×, Flip the second!

1
3½ ÷ 1¼ = 7/2 ÷ 5/4
2
7/2 × 4/5
3
28/10 = 14/5
4
14/5 = 2⅘

💡Pro Tip: Cross-Cancel First

Before multiplying, look for common factors you can cancel between any numerator and any denominator. This makes the math easier and gives you a simpler answer!

⚠️ Don't Forget

  • Always convert to improper fractions before multiplying/dividing
  • For division, flip only the SECOND fraction
  • Simplify your final answer and convert back to mixed if needed
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