Question

287. Выполните действия: а) 3 + 8 5/12 б) 10 - 6/7-3 в) 4 2/13+5 7/13 г) 8 7/12 - 4 2/12 д) 4 8/11+5 7/11 е) 7 5/9 - 2 8/9 ж) 7 - 3/8 з) 10- 3 7/15 ПОМОГИТЕЕЕЕЕЕЕЕЕЕ СРОЧНО

Answer 1

А) 11 5/12
б) 43/7
в) 9 9/13
г) 4 5/12
д) 10 4/11
е) 14/3
ж) 53/8
з) 98/15

Answer 2

a) 3 + 8 5/12

8 5/12 is equal to 8 + 5/12, so let's add them.

3 + 8 + 5/12 = 11 + 5/12

The sum cannot be simplified any further, so the final answer is 11 5/12.

b) 10 - 6/7 - 3

Let's simplify the subtraction separately.

10 - 3 = 7

Now, let's subtract 6/7 from 7.

7 - 6/7

To subtract fractions, we need a common denominator. The common denominator in this case is 7.

7/1 - 6/7 = ((7 * 7) - (6 * 1))/7 = (49 - 6)/7 = 43/7

The answer, therefore, is 7 - 6/7 = 43/7 or 6 1/7.

c) 4 2/13 + 5 7/13

The denominators are the same, so we can add the whole numbers and fractions separately.

4 + 2/13 + 5 + 7/13 = 9 + 9/13

The answer is 9 9/13.

d) 8 7/12 - 4 2/12

The denominators are the same, so we can subtract the whole numbers and fractions separately.

8 - 4 + 7/12 - 2/12 = 4 + 5/12

The answer is 4 5/12.

e) 4 8/11 + 5 7/11

The denominators are the same, so we can add the whole numbers and fractions separately.

4 + 8/11 + 5 + 7/11 = 9 + 15/11

The answer is 9 15/11.

f) 7 5/9 - 2 8/9

The denominators are the same, so we can subtract the whole numbers and fractions separately.

7 - 2 + 5/9 - 8/9 = 5 - 3/9

To subtract fractions, we need a common denominator. The common denominator in this case is 9.

5/1 - 3/9 = ((5 * 9) - (3 * 1))/9 = (45 - 3)/9 = 42/9

The answer is 5 - 3/9 = 42/9 or 4 2/9.

g) 7 - 3/8

To subtract fractions, we need a common denominator. The common denominator in this case is 8.

7/1 - 3/8 = ((7 * 8) - (3 * 1))/8 = (56 - 3)/8 = 53/8

The answer is 7 - 3/8 = 53/8 or 6 5/8.

h) 10 - 3 7/15

To subtract fractions, we need a common denominator. The common denominator in this case is 15.

10 - 3 7/15 = 10 - (3 + 7/15)

To subtract mixed numbers, we need to borrow from the whole number.

10 - (3 + 7/15) = 10 - (2 + 15/15 + 7/15) = 10 - (2 + 22/15)

Now, we can subtract.

10 - (2 + 22/15) = 10 - (2 + (22*1)/15) = 10 - (2 + 22/15)

Next, we can rewrite 2 as 30/15.

10 - (30/15 + 22/15) = 10 - (52/15)

To subtract fractions, we need a common denominator. The common denominator in this case is 15.

10 - (52/15) = ((10 * 15) - 52)/15 = (150 - 52)/15 = 98/15

The answer is 10 - 3 7/15 = 98/15 or 6 8/15.