Question

2:2/3+((1 1/2+2 2/3):3 3/4-2/3):8 8/9

Answer 1

1)1 1/2+2 2/3=3/2+8/3=9/6+16/6=25/6=4 1/6
2)4 1/6:3 3/4=25/6:15/4=25/6*4/15=10/9=1 1/9
3)1 1/9-2/3=10/9-2/3=10/9-6/9=4/9
4)2:2/3=2/1*3/2=3
5)4/9:8 8/9=4/9:80/9=4/9*9/80=1/20
6)3+1/20=3 1/20- ЭТО ОТВЕТ

Answer 2

To simplify the expression 2:2/3+((1 1/2+2 2/3):3 3/4-2/3):8 8/9, you can follow these steps:

1. Start by simplifying the fractions and mixed numbers inside the parentheses:

   • 1 1/2 = 3/2
   • 2 2/3 = 8/3
   • 3 3/4 = 15/4

2. Now, perform the operations inside the parentheses:

   • 3/2 + 8/3 = (9/6 + 16/6) = 25/6

3. Next, subtract 2/3 from the result of the addition:

   • 25/6 - 2/3 = (25/6 - 4/6) = 21/6

4. Finally, divide the result by 8 8/9:

   • (21/6) ÷ (8 8/9)

To divide a fraction by a mixed number, convert the mixed number to an improper fraction:

8 8/9 = (8 * 9 + 8) / 9 = 80/9

Now, divide:

(21/6) ÷ (80/9)

To divide fractions, you multiply by the reciprocal:

(21/6) * (9/80)

Now, simplify the fraction:

(3/1) * (3/80) = (3 * 3) / (1 * 80) = 9/80

So, the simplified result is 9/80.