fractions
Multiply & Divide Mixed Numbers
January 17, 2026
5 min read
PanMaths Team
Multiplying Mixed Numbers
The key: Convert both to improper fractions first, then multiply straight across!
1
2ยฝ ร 1โ
= 5/2 ร 4/32
5 ร 4 = 203
2 ร 3 = 64
20/6 = 10/3 = 3โ
Dividing Mixed Numbers
Use KCF: Keep, Change, Flip - Keep the first, Change รท to ร, Flip the second!
1
3ยฝ รท 1ยผ = 7/2 รท 5/42
7/2 ร 4/53
28/10 = 14/54
14/5 = 2โ
๐กPro 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!
โ ๏ธ 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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