**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.

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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.

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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.

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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.

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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.