Вопрос задан 04.11.2023 в 02:24. Предмет Математика. Спрашивает Грицак Тетяна.

выполните умножение 1 1/4×1 1/5=, 2 1/2×2 4/5=,2 2/7×1 1/8=,1 3/5×7 1/2=,2 1/7×2 2/15=,2 2/9×2

19/40=, 2 1 /10×2 1/7=,4 1/6×1 2/5 =, 1 4/7×2 6/11=, 1 1/5×2 11/12=, помогите решите правильно дам за правильный ответ 50 баллов
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Отвечает Урывская Ярослава.

Ответ:

1 1/4*1 1/5=5/4*6/5=6/4=1 1/2

2) 2 1/2* 2 4/5=5/2*14/5=7

3)2 2/7* 1 1/8=16/7*9/8=18/7=2 4/7

4) 1 3/5* 7 1/2=8/5*15/2=4*3=12

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Отвечает Vintov Andrey.

1) 1 1/4*1 1/5=5/4*6/5=6/4=1 1/2

2) 2 1/2* 2 4/5=5/2*14/5=7

3)2 2/7* 1 1/8=16/7*9/8=18/7=2 4/7

4) 1 3/5* 7 1/2=8/5*15/2=4*3=12

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Multiplication Problems

Let's solve the multiplication problems step by step:

1. 1 1/4 × 1 1/5:

To multiply mixed numbers, we need to convert them into improper fractions.

1 1/4 can be written as (4 + 1)/4 = 5/4.

1 1/5 can be written as (5 + 1)/5 = 6/5.

Now, we can multiply the fractions: (5/4) × (6/5) = (5 × 6)/(4 × 5) = 30/20.

Simplifying the fraction, we get 3/2.

Therefore, 1 1/4 × 1 1/5 = 3/2.

2. 2 1/2 × 2 4/5:

Again, let's convert the mixed numbers into improper fractions.

2 1/2 = (2 × 2 + 1)/2 = 5/2.

2 4/5 = (2 × 5 + 4)/5 = 14/5.

Now, we can multiply the fractions: (5/2) × (14/5) = (5 × 14)/(2 × 5) = 70/10.

Simplifying the fraction, we get 7.

Therefore, 2 1/2 × 2 4/5 = 7.

3. 2 2/7 × 1 1/8:

Converting the mixed numbers into improper fractions:

2 2/7 = (2 × 7 + 2)/7 = 16/7.

1 1/8 = (1 × 8 + 1)/8 = 9/8.

Multiplying the fractions: (16/7) × (9/8) = (16 × 9)/(7 × 8) = 144/56.

Simplifying the fraction, we get 9/7.

Therefore, 2 2/7 × 1 1/8 = 9/7.

4. 1 3/5 × 7 1/2:

Converting the mixed numbers into improper fractions:

1 3/5 = (1 × 5 + 3)/5 = 8/5.

7 1/2 = (7 × 2 + 1)/2 = 15/2.

Multiplying the fractions: (8/5) × (15/2) = (8 × 15)/(5 × 2) = 120/10.

Simplifying the fraction, we get 12.

Therefore, 1 3/5 × 7 1/2 = 12.

5. 2 1/7 × 2 2/15:

Converting the mixed numbers into improper fractions:

2 1/7 = (2 × 7 + 1)/7 = 15/7.

2 2/15 = (2 × 15 + 2)/15 = 32/15.

Multiplying the fractions: (15/7) × (32/15) = (15 × 32)/(7 × 15) = 480/105.

Simplifying the fraction, we get 16/7.

Therefore, 2 1/7 × 2 2/15 = 16/7.

6. 2 2/9 × 2 19/40:

Converting the mixed numbers into improper fractions:

2 2/9 = (2 × 9 + 2)/9 = 20/9.

2 19/40 = (2 × 40 + 19)/40 = 99/40.

Multiplying the fractions: (20/9) × (99/40) = (20 × 99)/(9 × 40) = 1980/360.

Simplifying the fraction, we get 11/2.

Therefore, 2 2/9 × 2 19/40 = 11/2.

7. 2 1/10 × 2 1/7:

Converting the mixed numbers into improper fractions:

2 1/10 = (2 × 10 + 1)/10 = 21/10.

2 1/7 = (2 × 7 + 1)/7 = 15/7.

Multiplying the fractions: (21/10) × (15/7) = (21 × 15)/(10 × 7) = 315/70.

Simplifying the fraction, we get 9/2.

Therefore, 2 1/10 × 2 1/7 = 9/2.

8. 4 1/6 × 1 2/5:

Converting the mixed numbers into improper fractions:

4 1/6 = (4 × 6 + 1)/6 = 25/6.

1 2/5 = (1 × 5 + 2)/5 = 7/5.

Multiplying the fractions: (25/6) × (7/5) = (25 × 7)/(6 × 5) = 175/30.

Simplifying the fraction, we get 35/6.

Therefore, 4 1/6 × 1 2/5 = 35/6.

9. 1 4/7 × 2 6/11:

Converting the mixed numbers into improper fractions:

1 4/7 = (1 × 7 + 4)/7 = 11/7.

2 6/11 = (2 × 11 + 6)/11 = 28/11.

Multiplying the fractions: (11/7) × (28/11) = (11 × 28)/(7 × 11) = 308/77.

Simplifying the fraction, we get 4.

Therefore, 1 4/7 × 2 6/11 = 4.

10. 1 1/5 × 2 11/12:

Converting the mixed numbers into improper fractions:

1 1/5 = (1 × 5 + 1)/5 = 6/5.

2 11/12 = (2 × 12 + 11)/12 = 35/12.

Multiplying the fractions: (6/5) × (35/12) = (6 × 35)/(5 × 12) = 210/60.

Simplifying the fraction, we get 7/2.

Therefore, 1 1/5 × 2 11/12 = 7/2.

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

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