Question

1) 12 1/9 + 4 2/5 - 5 + 7 3/5
2) 6 3/8 - 2 1/3 + 1/8 + 2 1/2

Answer 1

$\displaystyle 1)12\frac{1}{9}+4\frac{2}{5}-5+7\frac{3}{5}=12+\frac{1}{9}+4+\frac{2}{5}-5+7+\frac{3}{5}=(12+4-5+7)+(\frac{1}{9}+\frac{2}{5}+\frac{3}{5})=\\\\18+\frac{10}{9}=18+1\frac{1}{9}=18+1+\frac{1}{9}=19+\frac{1}{9}=19\frac{1}{9}=\frac{172}{9}\\ \\2)6\frac{3}{8}-2\frac{1}{3}+\frac{1}{8}+2\frac{1}{2}=\frac{51}{8}-\frac{7}{3}+\frac{1}{8}+\frac{5}{2}=\frac{20}{3}=6\frac{2}{3}$

Answer 2

1) 12 1/9+4 2/5-5+7 3/5= 19 1/9

2) 6 3/8 - 2 1/3 + 1/8 + 2 1/2= 6 2/3

1)

1. 12 1/9 + 4 2/5= 109/9+ 22/5 = 5 • 109 + 9 • 22/45= 743/45= 16 23/45

2. 16 23/45 - 5= 518/45 = 11 23/45

3. 11 23/45 + 7 3/5= 19 1/9

2)

1. 6 3/8 - 2 1/3= 51/8 - 7/3= 97/24 = 4 1/24

2. 4 1/24 + 1/8= 97/24 + 1/8= 4 1/6

3. 4 1/6 + 2 1/2= 25/6 + 5/2= 6 2/3