Question

5 7/10+2 2/10- (1 1/10+2 3/10);. 7 9/10- 4 7/10+ ( 4 3/10-3 2/10)​

Answer 1

1 способ (в обыкновенных дробях).

5 7/10 + 2 2/10 - (1 1/10 + 2 3/10) = 4 целых 5/10

1) 1 1/10 + 2 3/10 = 3 4/10

2) 5 7/10 + 2 2/10 = 7 9/10

3) 7 9/10 - 3 4/10 = 4 5/10

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7 9/10 - 4 7/10 + (4 3/10 - 3 2/10) = 4 3/10

1) 4 3/10 - 3 2/10 = 1 1/10

2) 7 9/10 - 4 7/10 = 3 2/10

3) 3 2/10 + 1 1/10 = 4 3/10

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2 способ (в десятичных дробях).

5,7 + 2,2 - (1,1 + 2,3) = 4,5

1) 1,1 + 2,3 = 3,4

2) 5,7 + 2,2 = 7,9

3) 7,9 - 3,4 = 4,5

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7,9 - 4,7 + (4,3 - 3,2) = 4,3

1) 4,3 - 3,2 = 1,1

2) 7,9 - 4,7 = 3,2

3) 3,2 + 1,1 = 4,3

Answer 2

To solve the given arithmetic expressions, we need to perform the operations step by step. Let's start with the first expression:

1. 5 7/10 + 2 2/10 - (1 1/10 + 2 3/10)

Step 1: Convert all mixed numbers into improper fractions. 5 7/10 = (5 * 10 + 7) / 10 = 57/10 2 2/10 = (2 * 10 + 2) / 10 = 22/10 1 1/10 = (1 * 10 + 1) / 10 = 11/10 2 3/10 = (2 * 10 + 3) / 10 = 23/10

Step 2: Perform the operations inside the parentheses. (57/10 + 22/10) - (11/10 + 23/10) = 79/10 - 34/10

Step 3: Combine the terms outside the parentheses. 79/10 - 34/10 = (79 - 34) / 10 = 45/10

Step 4: Simplify the fraction. 45/10 = 4 5/10 = 4 1/2

So, the result of the first expression is 4 1/2.

Now, let's move on to the second expression:

2. 7 9/10 - 4 7/10 + (4 3/10 - 3 2/10)

Step 1: Convert all mixed numbers into improper fractions. 7 9/10 = (7 * 10 + 9) / 10 = 79/10 4 7/10 = (4 * 10 + 7) / 10 = 47/10 4 3/10 = (4 * 10 + 3) / 10 = 43/10 3 2/10 = (3 * 10 + 2) / 10 = 32/10

Step 2: Perform the operations inside the parentheses. (43/10 - 32/10) = 11/10

Step 3: Combine the terms outside the parentheses. 79/10 - 47/10 + 11/10 = (79 - 47 + 11) / 10 = 43/10

Step 4: Simplify the fraction. 43/10 = 4 3/10

So, the result of the second expression is 4 3/10.

In summary:

1. 5 7/10 + 2 2/10 - (1 1/10 + 2 3/10) = 4 1/2
2. 7 9/10 - 4 7/10 + (4 3/10 - 3 2/10) = 4 3/10