Question

Convert the mixed numbers to improper fractions and solve

11) 9 1/2 + 1 1/2

12) 5 + 3 1/3

13) 2 4/5 + 16 2/5

14) 7 1/2 + 2 1/4

15) 8 5/6 + 3 2/3

16) 2 7/8 + 3 1/2 + 5 + 3 1/4

17) 5 1/2 + 2 1/3 + 9 1/6 + 2

18) 5 1/3 + 3 1/12 + 6 + 4 1/6

19) 2 1/15 + 7 2/5 + 5 + 3 1/3

Answer 1

do you choose the best

Explanation:

9 1/2 + 1 1/2

Converting to improper fractions: 9 1/2 = (9 * 2 + 1) / 2 = 19/2 and 1 1/2 = (1 * 2 + 1) / 2 = 3/2

Adding the fractions: 19/2 + 3/2 = (19 + 3) / 2 = 22/2 = 11/1 = 11

5 + 3 1/3

Converting to improper fractions: 5 = 5/1 and 3 1/3 = (3 * 3 + 1) / 3 = 10/3

Adding the fractions: 5/1 + 10/3 = (5 * 3 + 10) / 3 = 25/3

2 4/5 + 16 2/5

Converting to improper fractions: 2 4/5 = (2 * 5 + 4) / 5 = 14/5 and 16 2/5 = (16 * 5 + 2) / 5 = 82/5

Adding the fractions: 14/5 + 82/5 = (14 + 82) / 5 = 96/5

7 1/2 + 2 1/4

Converting to improper fractions: 7 1/2 = (7 * 2 + 1) / 2 = 15/2 and 2 1/4 = (2 * 4 + 1) / 4 = 9/4

Adding the fractions: 15/2 + 9/4 = (15 * 2 + 9) / 2 = 39/4

8 5/6 + 3 2/3

Converting to improper fractions: 8 5/6 = (8 * 6 + 5) / 6 = 53/6 and 3 2/3 = (3 * 3 + 2) / 3 = 11/3

Adding the fractions: 53/6 + 11/3 = (53 * 3 + 11 * 6) / 6 = 257/6

2 7/8 + 3 1/2 + 5 + 3 1/4

Converting to improper fractions: 2 7/8 = (2 * 8 + 7) / 8 = 23/8, 3 1/2 = (3 * 2 + 1) / 2 = 7/2, 3 1/4 = (3 * 4 + 1) / 4 = 13/4

Adding the fractions: 23/8 + 7/2 + 5 + 13/4 = (23 * 2 + 7 * 8 + 5 * 8 + 13 * 2) / 8 = 101/8

5 1/2 + 2 1/3 + 9 1/6 + 2

Converting to improper fractions: 5 1/2 = (5 * 2 + 1) / 2 = 11/2