Question

Ё) (20-19 3/4)+(17 3/4-17)+(2 1/2-17/24)ж)25 7/9-8 3/4-(13 5/12+2 11/18)​

Answer 1

(20-19 3/4)+(17 3/4-17)+(2 1/2-17/24)=2 19/24.

1) 20-19 3/4= 19 4/4 - 19 3/4= 1/4.

2) 17 3/4-17=3/4.

3)2 1/2 - 17/24= 2 12/24-17/24= 1 36/24-17/24=1 19/24.

4)1/4+3/4+1 19/24= 6/24+18/24+1 19/24=24/24+1 19/24=1+1 19/24=2 19/24.

Ответ: 2 19/24  

25 7/9-8 3/4-(13 5/12+2 11/18)=25 7/9-8 3/4-13 5/12-2 11/18=232/9-35/4-161/12-47/18=928/36-315/36-483/36-94/36=6/36=1/6

Answer 2

Let's break down the calculations step by step:

а) (20 - 19 3/4) + (17 3/4 - 17) + (2 1/2 - 17/24)

Step 1: Calculate the first expression in parentheses: 20 - 19 3/4 = 20 - (19 + 3/4) = 20 - 19 - 3/4 = 1 - 3/4 = 1/4

Step 2: Calculate the second expression in parentheses: 17 3/4 - 17 = (17 + 3/4) - 17 = 17 + 3/4 - 17 = 3/4

Step 3: Calculate the third expression in parentheses: 2 1/2 - 17/24 = (2 + 1/2) - 17/24 = 2 + 1/2 - 17/24

To subtract fractions, we need a common denominator. The least common multiple of 2 and 24 is 24, so we need to rewrite 1/2 with a denominator of 24:

1/2 = 12/24

Now we can subtract the fractions:

2 + 12/24 - 17/24 = 2 + (12 - 17)/24 = 2 - 5/24

Now, let's combine all the results:

(1/4) + (3/4) + (2 - 5/24)

Step 4: Add the fractions:

(1/4) + (3/4) = (1 + 3)/4 = 4/4 = 1

Now, we have:

1 + (2 - 5/24)

Step 5: Subtract the fractions:

2 - 5/24

To subtract fractions, we need a common denominator, which is 24 in this case:

2 - 5/24 = (48/24) - 5/24 = (48 - 5)/24 = 43/24

So, the result for part а) is:

1 + 43/24

Now, let's move on to part ж):

ж) 25 7/9 - 8 3/4 - (13 5/12 + 2 11/18)

Step 1: Subtract 8 3/4 from 25 7/9:

(25 + 7/9) - (8 + 3/4) = 25 + 7/9 - 8 - 3/4

Step 2: Subtract fractions with a common denominator:

25 - 8 = 17

7/9 - 3/4

To subtract fractions, we need a common denominator, which is 36 in this case:

(7/9) * (4/4) = 28/36 (3/4) * (9/9) = 27/36

Now we can subtract:

(28/36) - (27/36) = 1/36

So, the result of the first part of ж) is 17 1/36.

Step 3: Calculate the second part of ж):

(13 + 5/12) + (2 + 11/18) = 13 + 5/12 + 2 + 11/18

Now, let's add the fractions with a common denominator:

(5/12) * (3/3) = 15/36 (11/18) * (2/2) = 22/36

Now we can add:

(13 + 15/36) + (2 + 22/36) = 13 + 15/36 + 2 + 22/36

Combine the whole numbers and fractions:

15/36 + 22/36 = 37/36

So, the result of the second part of ж) is 15 37/36.

Now, let's subtract the result of part ж) from the result of part а):

(17 1/36) - (15 37/36)

To subtract mixed numbers, we need a common denominator, which is 36:

(17 * 36 + 1) - (15 * 36 + 37) = (612 + 1) - (540 + 37) = 613 - 577 = 36

So, the final result is 36.