Question

(5 5/6:4+7:5 1/11):7/9-4/9×3/8

Answer 1

Кривое равно - примерно

Answer 2

To simplify the expression (5 5/6:4 + 7:5 1/11):7/9 - 4/9 × 3/8, follow these steps:

Step 1: Perform operations inside parentheses (if any). Step 2: Simplify the division (or fractions) first, from left to right. Step 3: Perform the multiplication, from left to right. Step 4: Perform the subtraction and addition, from left to right.

Let's begin:

Step 1: There are no parentheses in this expression, so we move to Step 2.

Step 2: Simplify the division (or fractions):

(5 5/6:4 + 7:5 1/11):7/9 - 4/9 × 3/8 = (5 5/6 ÷ 4 + 7 ÷ (5 1/11)) ÷ 7/9 - 4/9 × 3/8

Now, convert all mixed numbers to improper fractions:

= ((56 + 5)/6 ÷ 4 + (711 + 1)/11) ÷ 7/9 - 4/9 × 3/8 = (35/6 ÷ 4 + 78/11) ÷ 7/9 - 4/9 × 3/8

Step 3: Perform the division:

= ((35/6) ÷ 4 + (78/11)) ÷ 7/9 - 4/9 × 3/8

To divide by a fraction, we can multiply by its reciprocal:

= ((35/6) × (1/4) + (78/11)) × (9/7) - 4/9 × 3/8 = (35/24 + 78/11) × 9/7 - 4/9 × 3/8

Step 4: Perform the addition:

To add fractions, they need to have a common denominator:

Let's find the common denominator for 24 and 11, which is 264:

= (35/24 × 11/11 + 78/11 × 24/24) × 9/7 - 4/9 × 3/8 = (385/264 + 1872/264) × 9/7 - 4/9 × 3/8

Now, let's add the fractions:

= (2257/264) × 9/7 - 4/9 × 3/8

Step 5: Perform the multiplication:

= 2257/264 × 9/7 - (4/9) × (3/8)

To multiply fractions, simply multiply their numerators and denominators:

= 20313/264 - 12/72

Step 6: Simplify the result:

First, let's find the common denominator for 264 and 72, which is 792:

= (20313/264) - (12/72) × (11/11) = 20313/264 - 132/792

Now, let's subtract the fractions:

= (20313 - 132)/264 = 20181/264

Since 20181 and 264 have no common factors other than 1, the fraction is already in its simplest form.

Final Answer: 20181/264