fractions
Adding Mixed Numbers
January 08, 2026
5 min read
PanMaths Team
The 4-Step Method
1
Convert
to improper fractions
2
Find
common denominator
3
Add
the numerators
4
Simplify
the result
Detailed Example: 2ยฝ + 1ยพ
1
Convert to improper fractions
2ยฝ = 5/2 and 1ยพ = 7/4(2ร2+1)/2 = 5/2, (1ร4+3)/4 = 7/4
2
Find common denominator
LCD of 2 and 4 is 45/2 = 10/4 (multiply by 2/2)
3
Add the numerators
10/4 + 7/4 = 17/4Keep denominator, add numerators
4
Convert to mixed number
17/4 = 4ยผ17 รท 4 = 4 remainder 1
2ยฝ + 1ยพ = 4ยผโ
๐กAlternative Method: Add Wholes and Fractions Separately
(1) Add whole numbers: 2 + 1 = 3, (2) Add fractions: ยฝ + ยพ = 5/4 = 1ยผ, (3) Combine: 3 + 1ยผ = 4ยผ. Same answer!
More Examples
3โ
+ 2ยฝ= 5โตโโ10/3 + 5/2 = 20/6 + 15/6 = 35/6
1ยผ + 2ยผ= 3ยฝ5/4 + 9/4 = 14/4 = 7/2
4โ
+ 1โ
= 5โตโโ14/3 + 7/6 = 28/6 + 7/6 = 35/6
โ ๏ธ Common Mistakes to Avoid
- Don't just add whole numbers and fractions separately without proper handling
- Don't forget to find a common denominator before adding
- Remember to simplify your final answer
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