Question

-8 2_11+(-7 5_33)=(-1 4_5+2 1_3)+(-7 3_4+(-2 2_5))=

Answer 1

Ответ:

Пошаговое объяснение:

-8 2\11+(-7 5\33)= -8 2\11-7 5\33= -8 6\33-7 5\33=-15 1\3

(-1 4\5+2 1\3)+(-7 3\4+(-2 2\5)=-1 4\5+2 1\3-7 3\4-2 2\5=-9 37\60

-1 4\5-2 2\5=-4 1\5

2 1\3-7 3\4=2 4\12-7 9\12=-5 5\12

-4 1\5-5 5\12=-4 12\60-5 25\60=-9 37\60

Answer 2

To perform the given calculations, we'll work with mixed numbers, which consist of a whole number and a fraction separated by a space.

Let's solve the equations step by step:

1. -8 2_11 + (-7 5_33):

To add mixed numbers, we need to add the whole numbers and the fractions separately.

Whole numbers: -8 + (-7) = -15

Fractions: 2_11 + 5_33 = (2 + 5) + (11/16 + 33/64)

First, we need to find a common denominator for the fractions. The least common multiple (LCM) of 16 and 64 is 64. We can convert both fractions to have a denominator of 64:

11/16 = (11 * 4) / (16 * 4) = 44/64 33/64 = 33/64

Now we can add the fractions:

(11/16 + 33/64) = (44/64 + 33/64) = 77/64

Putting it all together, the sum is:

-15 + 2_11 + 5_33 = -15 + (2 + 5) + (77/64) = -15 + 7 + (77/64) = -8 + (77/64)

Therefore, -8 2_11 + (-7 5_33) simplifies to -8 + (77/64).

2. (-1 4_5 + 2 1_3) + (-7 3_4 + (-2 2_5)):

Let's break down the equation into smaller parts and solve them individually.

(-1 4_5 + 2 1_3) = (-1 + 2) + (4_5 + 1_3) = 1 + (4 + 1) + (5/8 + 3/4)

Adding the whole numbers: 1 + (4 + 1) = 1 + 5 = 6

Adding the fractions:

5/8 + 3/4 = (5/8 * 2/2) + (3/4 * 2/2) [Multiplying both fractions by 2/2 to get a common denominator] = 10/16 + 6/16 = 16/16 = 1

Therefore, (-1 4_5 + 2 1_3) simplifies to 6 1.

Now let's simplify the second part of the equation:

(-7 3_4 + (-2 2_5)) = (-7 + (-2)) + (3_4 + 2_5) = -9 + (3 + 2) + (4/16 + 5/32)

Adding the whole numbers: -9 + (3 + 2) = -9 + 5 = -4

Adding the fractions:

4/16 + 5/32 = (4/16 * 2/2) + (5/32 * 2/2) [Multiplying both fractions by 2/2 to get a common denominator] = 8/32 + 10/32 = 18/32 = 9/16

Therefore, (-7 3_4 + (-2 2_5)) simplifies to -4 9/16.

Finally, let's add the simplified parts together:

(6 1) + (-4 9/16) = (6 + (-4)) + (1 + 9/16) = 2 + (1 + 9/16) = 2 + (16/16 + 9/16) = 2 + 25/16

Since 25/16 is an improper fraction, we can rewrite it as a mixed number:

25/16 = 1_9/16

Adding the whole numbers:

2 + 1 = 3

Therefore, (6 1) + (-4 9/16) simplifies to 3 9/16.

In conclusion:

-8 2_11 + (-7 5_33) simplifies to -8 + (77/64) (-1 4_5 + 2 1_3) + (-7 3_4 + (-2 2_5)) simplifies to 3 9/16.