Вопрос задан 01.05.2019 в 22:58. Предмет Математика. Спрашивает Адеев Коля.

Решите примеры. Это дроби 5 класса. 6/13+4/13-8/13= 7 13/15-(2 7/15+3 4/15)= 9 12/25-8 16/25+4

17/25= y-2 1/5=5 2/5 (x-3 13/21)+2 10/21=7 2/21Пожалуйста, очень срочно!
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Отвечает Митасов Илья.
1. 6/13+4/13-8/13=10/13-8/13=2/13
2. =105/15-(37/15+49/15)==105/15-86/15=19/15=1 4/15
3. =237/25-216/25+117/25=138/25=5,52
4. у-11/5=27/5
    у=27/5+11/5
    у=38/5
    у=7,6
5. (x-3 13/21)+2 10/21=7 2/21
х-76/21+52/21=149/21
х=149/21+76/21-52/21
х=173/21
х=8 5/21
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Отвечает Ганник Александра.
1) 6/13+4/13-8/13= 2/13;
2) 7 13/15- 5 11/15= 2 2/15;
3) 1-4/25+4 17/25= 5 13/25;
4) у= 2 1/5+5 2/5; у= 7 3/5;
5) х-3 13/21= 7 2/21-2 10/21;
х=3 13/21+7 2/21-2 10/21;
х= 10 15/21-2 10/21;
х= 8 5/21.
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Solution:

Let's solve the given expressions step by step.

1. 6/13 + 4/13 - 8/13:

To add or subtract fractions, we need to have the same denominator. In this case, the denominators are already the same, so we can simply add or subtract the numerators.

6/13 + 4/13 - 8/13 = (6 + 4 - 8)/13 = 2/13

Answer: 2/13

2. 7 13/15 - (2 7/15 + 3 4/15):

To subtract mixed numbers, we need to convert them into improper fractions. Then, we can perform the subtraction.

7 13/15 = (7 * 15 + 13)/15 = 118/15

2 7/15 = (2 * 15 + 7)/15 = 37/15

3 4/15 = (3 * 15 + 4)/15 = 49/15

Now, let's substitute these values back into the expression:

118/15 - (37/15 + 49/15) = 118/15 - 86/15 = (118 - 86)/15 = 32/15

Answer: 32/15

3. 9 12/25 - 8 16/25 + 4 17/25:

Following the same steps as before, let's convert the mixed numbers into improper fractions:

9 12/25 = (9 * 25 + 12)/25 = 237/25

8 16/25 = (8 * 25 + 16)/25 = 216/25

4 17/25 = (4 * 25 + 17)/25 = 117/25

Now, let's substitute these values back into the expression:

237/25 - 216/25 + 117/25 = (237 - 216 + 117)/25 = 138/25

Answer: 138/25

4. y - 2 1/5 = 5 2/5 + (x - 3 13/21) + 2 10/21:

Let's simplify the equation step by step.

First, let's convert the mixed numbers into improper fractions:

2 1/5 = (2 * 5 + 1)/5 = 11/5

5 2/5 = (5 * 5 + 2)/5 = 27/5

3 13/21 = (3 * 21 + 13)/21 = 76/21

2 10/21 = (2 * 21 + 10)/21 = 52/21

Now, let's substitute these values back into the equation:

y - 11/5 = 27/5 + (x - 76/21) + 52/21

Next, let's simplify the equation further:

y - 11/5 = 27/5 + x - 76/21 + 52/21

To combine the fractions, we need to have the same denominator. In this case, the denominators are already the same, so we can simply add or subtract the numerators.

y - 11/5 = (27 + 52)/5 + x - 76/21

y - 11/5 = 79/5 + x - 76/21

Now, let's combine like terms:

y = 79/5 + x - 76/21 + 11/5

To add or subtract fractions, we need to have the same denominator. In this case, the denominators are different, so we need to find a common denominator.

The least common multiple of 5 and 21 is 105. Let's convert the fractions to have a denominator of 105:

y = (79/5) * (21/21) + (x - 76/21) * (5/5) + (11/5) * (21/21)

y = 79/105 * 21/21 + (x - 76/21) * 5/5 + 11/105 * 21/21

y = 1659/105 + (5x - 380/21) + 231/105

Now, let's simplify the equation further:

y = 1659/105 + 5x - 380/21 + 231/105

To add or subtract fractions, we need to have the same denominator. In this case, the denominators are already the same, so we can simply add or subtract the numerators.

y = (1659 + 525x - 380 + 231)/105

y = (525x + 1510)/105

Answer: y = (525x + 1510)/105

5. 7 2/21:

To convert the mixed number into an improper fraction:

7 2/21 = (7 * 21 + 2)/21 = 149/21

Answer: 149/21

I hope this helps! Let me know if you have any further questions.

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