Example 1: Find the mixed fraction addition of 3 1/2 + 2 3/4.
Solution: Convert into improper fractions i.e 3 1/2 = 7/2 and 2 3/4 = 11/4
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 14/4 and 11/4
Add both fractions then convert into mixed fraction i.e 14/4 + 11/4 = 25/4 = 6 1/4
Mixed fraction addition of
3 1/2 + 2 3/4 = 6 1/4.
Example 2: Find the mixed fraction addition of 4 6/7 + 1 3/9.
Solution: Convert into improper fractions i.e 4 6/7 = 34/7 and 1 3/9 = 4/3
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 54/63 and 21/63
Add both fractions then convert into mixed fraction
i.e 54/63 + 21/63 = 75/63 = 6 4/21
Mixed fraction addition of
4 6/7 + 1 3/9 = 6 4/21.
Example 3: Find the mixed fraction addition of 5 10/22 + 2 7/11.
Solution: Convert into improper fractions i.e 5 10/22 = 120/22 and 2 7/11 = 29/11
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 120/22 and 58/22
Add both fractions then convert into mixed fraction
i.e 120/22 + 58/22 = 89/11 = 8 1/11
Mixed fraction addition of
5 10/22 + 2 7/11 = 8 1/11.
Example 4: Find the mixed fraction addition of 10 5/9 + 12 2/12.
Solution: Convert into improper fractions i.e 10 5/9 = 95/9 and 12 2/12 = 146/12
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 380/36 + 438/36
Add both fractions then convert into mixed fraction
i.e 380/36 + 438/36 = 409/18 = 22 13/18
Mixed fraction addition of
10 5/9 + 12 2/12 = 22 13/18.
Example 5: Find the mixed fraction addition of 6 1/4 + 4 3/5.
Solution: Convert into improper fractions i.e 6 1/4 = 25/4 and 4 3/5 = 23/5
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 125/20 and 92/20
Add both fractions then convert into mixed fraction
i.e 125/20 + 92/20 = 217/20 = 10 17/20
Mixed fraction addition of
6 1/4 + 4 3/5 = 10 17/20.