Question

1) (7,5-6 2/3)×4 4/5 2) 42/9 : (5,6-4 1/3)3) (7 1/6-6 3/4):(2 2/7+3 1/14)4) (4 3/4+2 5/6):(9 2/3-6 3/8) Решите пожалуйста примеры​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

1. (7,5-6 2/3) × 4 4/5

To simplify the first expression, we first need to convert the mixed number 7,5 to an improper fraction: 7,5 = 7 + 1/2 = 14/2 + 1/2 = 15/2

We can then subtract 6 2/3 from 15/2: 15/2 - 6 2/3 = 15/2 - 20/3

To subtract these fractions, we need to find a common denominator. The least common multiple of 2 and 3 is 6, so we can convert the fractions as follows: 15/2 - 20/3 = 45/6 - 40/6

Now we can subtract: 45/6 - 40/6 = 5/6

So the expression simplifies to: (7,5-6 2/3) × 4 4/5 = 5/6 × 24/5 = 4

Therefore, the answer is 4.

2. 42/9 : (5,6-4 1/3)

Again, we start by converting the mixed number 5,6 to an improper fraction: 5,6 = 5 + 3/5 = 25/5 + 3/5 = 28/5

We can also convert the mixed number 4 1/3 to an improper fraction: 4 1/3 = 4 + 1/3 = 12/3 + 1/3 = 13/3

Now we can subtract 13/3 from 28/5 and simplify the result: 28/5 - 13/3 = 84/15 - 65/15 = 19/15

Finally, we can divide 42/9 by 19/15: 42/9 : (5,6-4 1/3) = 42/9 ÷ 19/15

To divide by a fraction, we can multiply by its reciprocal: 42/9 ÷ 19/15 = 42/9 × 15/19 = 70/57

So the answer is 70/57.

3. (7 1/6-6 3/4):(2 2/7+3 1/14)

First, we need to convert the mixed numbers to improper fractions: 7 1/6 = 43/6 6 3/4 = 27/4 2 2/7 = 16/7 3 1/14 = 43/14

We can then perform the addition and subtraction in the expression: 43/6 - 27/4 = 172/24 - 162/24 = 10/24 = 5/12 16/7 + 43/14 = 32/14 + 43/14 = 75/14

Finally, we can divide the two fractions: (7 1/6-6 3/4):(2 2/7+3 1/14) = (5/12) ÷ (75/14)

To divide by a fraction, we can multiply by its reciprocal: (5/12) ÷ (75/14) = (5/12) × (14/75) = 7/36

So the answer is 7/36.

4. (4 3/4+2 5/6):(9 2/3-6 3/8)

We start by converting the mixed numbers to improper fractions: 4 3/4 = 19/4