Question

Выполните действия Дроби1 29/91 * 3 1/41 2/15 * 2 1/234 (7/17 - 1 29/34)(7 1/5 - 2 13/100) : 1,32 6/13 (1/8 - 2 9/16)-4 1/6 : 1/6

Answer 1

Ответ в приложенном фото)

Answer 2

Calculation of the Expression

To solve the given expression, let's break it down step by step:

1. Multiply the fractions: 29/91 * 3 1/41 * 2 1/15 * 2 1/234 2. Add the fractions: 7/17 + 1 29/34 3. Multiply the fractions: (7 + 1/5) * (2 13/100) 4. Perform addition and subtraction: 1 32/6 + (1/8 - 2 9/16) - 4 1/6 5. Divide the result by 1/6

Let's calculate each step in detail.

Step 1: Multiply the Fractions

To multiply fractions, we multiply the numerators together and the denominators together.

29/91 * 3 1/41 * 2 1/15 * 2 1/234

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

3 1/41 = (3 * 41 + 1) / 41 = 124/41 2 1/15 = (2 * 15 + 1) / 15 = 31/15 2 1/234 = (2 * 234 + 1) / 234 = 469/234

Now, let's multiply the fractions:

(29/91) * (124/41) * (31/15) * (469/234)

To multiply fractions, we multiply the numerators together and the denominators together:

(29 * 124 * 31 * 469) / (91 * 41 * 15 * 234)

The result of this multiplication is:

Answer: (29 * 124 * 31 * 469) / (91 * 41 * 15 * 234)

Step 2: Add the Fractions

To add fractions, we need to find a common denominator. In this case, the common denominator is 34.

7/17 + 1 29/34

First, let's convert the mixed number to an improper fraction:

1 29/34 = (1 * 34 + 29) / 34 = 63/34

Now, let's add the fractions:

(7/17) + (63/34)

To add fractions, we need to have a common denominator. In this case, the common denominator is 34:

(7 * 2/2 * 34) + (63 * 17/17 * 34) / (17 * 34)

Simplifying the numerator:

(14/34 + 1071/34) / (17 * 34)

Adding the fractions:

(1085/34) / (17 * 34)

Simplifying the denominator:

(1085/34) / 578

Dividing the fractions:

1085 / (34 * 578)

The result of this addition is:

Answer: 1085 / (34 * 578)

Step 3: Multiply the Fractions

To multiply fractions, we multiply the numerators together and the denominators together.

(7 + 1/5) * (2 13/100)

First, let's convert the mixed number to an improper fraction:

2 13/100 = (2 * 100 + 13) / 100 = 213/100

Now, let's multiply the fractions:

(7 + 1/5) * (213/100)

To multiply fractions, we multiply the numerators together and the denominators together:

((7 * 5 + 1) / 5) * (213/100)

Simplifying the numerator:

(36/5) * (213/100)

Multiplying the fractions:

(36 * 213) / (5 * 100)

The result of this multiplication is:

Answer: (36 * 213) / (5 * 100)

Step 4: Perform Addition and Subtraction

To perform addition and subtraction, we need to find a common denominator. In this case, the common denominator is 48.

1 32/6 + (1/8 - 2 9/16) - 4 1/6

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

1 32/6 = (1 * 6 + 32) / 6 = 38/6 2 9/16 = (2 * 16 + 9) / 16 = 41/16 4 1/6 = (4 * 6 + 1) / 6 = 25/6

Now, let's perform the addition and subtraction:

(38/6) + (1/8 - 41/16) - (25/6)

To perform addition and subtraction, we need to have a common denominator. In this case, the common denominator is 48:

(38 * 8/8 * 6) + (1 * 6/6 * 8 - 41 * 3/3 * 16) - (25 * 8/8 * 6) / (6 * 48)

Simplifying the numerator:

(304/48) + (6/6 * 8 - 123/3 * 16) - (200/48)

Performing the multiplication:

(304/48) + (48/48 - 492/48) - (200/48)

Simplifying the numerator:

(304 + 48 - 492 - 200) / 48

Performing the addition and subtraction:

-340 / 48

Simplifying the fraction:

-85 / 12

The result of this addition and subtraction is:

Answer: -85 / 12

Step 5: Divide the Result by 1/6

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

-85 / 12 / 1/6

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(-85/12) * (6/1)

Multiplying the fractions:

(-85 * 6) / (12 * 1)

The result of this division is:

Answer: (-85 * 6) / (12 * 1)

Now, you can calculate the final result by evaluating the expressions obtained in each step.