Question

2-2/3:7/9 3/4:12-1/32 1 1/5:2/3+1/3

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the given expressions, let's simplify each one:

1. 2-2/3 : 7/9

To divide a mixed number by a fraction, we first need to convert the mixed number into an improper fraction:

2-2/3 = (3 * 2 + 2) / 3 = 6/3 + 2/3 = 8/3

Now we can divide:

(8/3) : (7/9) = (8/3) * (9/7) = (8 * 9) / (3 * 7) = 72/21

The simplified result is 24/7.

2. 3/4 : 12-1/32

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

12-1/32 = (32 * 12 + 1) / 32 = 385/32

Now we can divide:

(3/4) : (385/32) = (3/4) * (32/385) = (3 * 32) / (4 * 385) = 96/1540

The simplified result is 24/385.

3. 1 1/5 : 2/3 + 1/3

To divide a mixed number by a fraction, we first need to convert the mixed number into an improper fraction:

1 1/5 = (5 * 1 + 1) / 5 = 6/5

Now we can perform the addition and then the division:

(2/3 + 1/3) = 3/3 = 1

(6/5) : 1 = 6/5

The simplified result is 6/5 or 1 1/5.

Therefore, the solutions are:

1. 2-2/3 : 7/9 = 24/7
2. 3/4 : 12-1/32 = 24/385
3. 1 1/5 : 2/3 + 1/3 = 6/5 or 1 1/5.