Question

1) (2/7+3 1/2) × 4 2/3 2) (4 1/5 - 2 3/4) × 2 2/19 3) (5 6/7 + 3 5/21) × 2 1/10 4) (7 5/12 - 3 1/6) × 2 2/17

Answer 1

Ответ:

если что-то непонятно написанно спрашивай)

Answer 2

Let's solve the given arithmetic expressions step by step:

1. (2/7 + 3 1/2) × 4 2/3

To simplify the expression, we first need to convert the mixed numbers to improper fractions: 3 1/2 = (2 * 2 + 1) / 2 = 7/2 4 2/3 = (3 * 3 + 2) / 3 = 14/3

Now we can add the fractions: 2/7 + 7/2 = (2 * 2 + 1) / 2 * 7 = 11/14

Finally, we multiply the sum by 14/3: (11/14) × (14/3) = (11 * 14) / (14 * 3) = 154/42 = 77/21 = 3 14/21

So, the result is 3 14/21.

2. (4 1/5 - 2 3/4) × 2 2/19

Converting mixed numbers to improper fractions: 4 1/5 = (5 * 4 + 1) / 5 = 21/5 2 3/4 = (4 * 2 + 3) / 4 = 11/4 2 2/19 = (19 * 2 + 2) / 19 = 40/19

Subtracting the fractions: 21/5 - 11/4 = (21 * 4 - 11 * 5) / (5 * 4) = 34/20 = 17/10

Finally, we multiply the difference by 40/19: (17/10) × (40/19) = (17 * 40) / (10 * 19) = 680/190 = 34/19 = 1 15/19

So, the result is 1 15/19.

3. (5 6/7 + 3 5/21) × 2 1/10

Converting mixed numbers to improper fractions: 5 6/7 = (7 * 5 + 6) / 7 = 41/7 3 5/21 = (21 * 3 + 5) / 21 = 68/21 2 1/10 = (10 * 2 + 1) / 10 = 21/10

Adding the fractions: 41/7 + 68/21 = (41 * 3 + 68) / (7 * 3) = 191/21

Finally, we multiply the sum by 21/10: (191/21) × (21/10) = (191 * 21) / (21 * 10) = 191/10 = 19 1/10

So, the result is 19 1/10.

4. (7 5/12 - 3 1/6) × 2 2/17

Converting mixed numbers to improper fractions: 7 5/12 = (12 * 7 + 5) / 12 = 89/12 3 1/6 = (6 * 3 + 1) / 6 = 19/6 2 2/17 = (17 * 2 + 2) / 17 = 36/17

Subtracting the fractions: 89/12 - 19/6 = (89 * 2 - 19 * 12) / (12 * 6) = 218/72 = 109/36

Finally, we multiply the difference by 36/17: (109/36) × (36/17) = (109 * 36) / (36 * 17) = 109/17 = 6 7/17

So, the result is 6 7/17.

Please note that the answers are given in mixed number form.