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### Grade 6 - Mathematics6.3 Addition of Three Mixed Numbers

#### Addition of three mixed numbers with like denominators

Example:
5 4/7 + 2 3/7 + 3 1/7 = ?

Method 1:
Add integer parts: 5 + 2 + 3 = 10
Add fraction parts: 4/7 + 3/7 + 1/7 = 8/7 = 1 1/7
5 4/7 + 2 3/7 + 3 1/7 = 10 + 1 1/7 = 11 1/7

Method 2:
5 4/7 + 2 3/7 + 3 1/7
Convert mixed fractions to improper fractions and then add them.
5 4/7 + 2 3/7 + 3 1/7 = 39/7 + 17/7 + 22/7
= 78/7
= 11 1/7

#### Addition of three mixed numbers with unlike denominators

Example:
3 1/8 + 2 1/2 + 4 3/5 = ?

Method 1:
Add integer parts: 3 + 2 + 4 = 9
Add fraction parts: 1/8 + 1/2 + 3/5 = 49/40 = 1 9/40
3 1/8 + 2 1/2 + 4 3/5 = 9 + 1 9/40 = 10 9/40

Method 2:
Convert mixed fractions to improper fractions and then add them.
3 1/8 + 2 1/2 + 4 3/5 = 25/8 + 5/2 + 23/5 = 818/80
= 10 9/40

Directions: Solve the following problems. Also write at least 5 examples of your own for each case shown above.
 Q 1: 2 3/8 + 1 1/8 =3 1/43 2/33 1/2 Q 2: 3 1/12 + 4 3/12 =7 1/37 1/67 1/7 Q 3: 3 1/4 + 2 1/7 =11 5/285 11/285 12/27 Q 4: 2 1/5 + 3 1/2 + 2 1/3 =8 1/108 1/158 1/30 Q 5: 12 4/3 + 11 1/3 + 2 2/3 =27 1/327 1/427 1/6 Q 6: 15 2/7 + 5 1/7 =20 2/720 4/720 3/7 Q 7: 3 1/5 + 2 1/5 =5 2/55 1/54 1/5 Q 8: 2 1/5 + 3 1/3 =8 5/155 8/1515 5/8 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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