Question

3 3/4*(4 1/5-3 1/6)+8,8*5/4

Answer 1

Ответ:

14 7/8

Пошаговое объяснение:

3 3/4*(4 1/5-3 1/6)+8,8*5/4

Преобразовываем выражения:

15/4*(21/5-19/6)+44/5*5/4

Вычитаем дробь:

15/4*31/30+44/5*5/4 (Сокращаем)

15/4*31/30+11 (Сокращаем на 15)

1/4*31/2+11

Умножаем дроби:

31/8+11

Вычитаем:

119/8

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119/8 = 14 7/8

Answer 2

Let's break down the expression step by step:

1. Start with the first part of the expression: 3 3/4 * (4 1/5 - 3 1/6)

2. Calculate the values inside the parentheses: 4 1/5 - 3 1/6

   To subtract mixed numbers, you need to convert them to improper fractions first: (21/5) - (19/6)

3. Find a common denominator, which is 30 in this case: (21/5) * (6/6) - (19/6) * (5/5)

4. Calculate the numerators: (126/30) - (95/30)

5. Subtract the fractions: (126/30) - (95/30) = (126 - 95) / 30 = 31/30

6. Now, multiply the result by 3 3/4: 3 3/4 * (31/30)

7. To multiply a mixed number by a fraction, convert the mixed number to an improper fraction: (15/4) * (31/30)

8. Multiply the fractions: (15/4) * (31/30) = (15 * 31) / (4 * 30) = 465/120

9. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15: (465/15) / (120/15) = 31/8

So, the result of the first part of the expression is 31/8.

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

8,8 * 5/4

This is a straightforward multiplication:

8.8 * 5/4 = 44/4 = 11

Now, you have both results:

1. The first part of the expression is 31/8.
2. The second part of the expression is 11.

Now, add these results together:

31/8 + 11

To add fractions, you need a common denominator:

31/8 + 88/8

Now, add the numerators:

(31 + 88) / 8 = 119/8

So, the final result of the expression is 119/8.