Question

(35/8-21/6)×12+17/12÷(3/8+5/12)-1/2=​

Answer 1

вроде должно быть 10

Пошаговое объяснение:

если не правильно то сори

Answer 2

To solve the given expression:

(35/8 - 21/6) × 12 + 17/12 ÷ (3/8 + 5/12) - 1/2

Let's simplify step by step:

Step 1: Simplify the fractions within parentheses.

35/8 - 21/6 can be simplified by finding a common denominator:

35/8 - 21/6 = (35/8) - (28/6) = (35/8) - (14/3) [multiplying the numerator and denominator of (28/6) by 4/4 to make it 8/8] = (35/8) - (14/3) [multiplying the numerator and denominator of (14/3) by 8/8 to make it 24/8]

Step 2: Perform the subtraction within parentheses.

(35/8) - (14/3) = (35/8) - (24/8) = 11/8

So, the expression becomes:

11/8 × 12 + 17/12 ÷ (3/8 + 5/12) - 1/2

Step 3: Simplify the fractions within parentheses.

3/8 + 5/12 can be simplified by finding a common denominator:

3/8 + 5/12 = (3/8) + (10/12) = (3/8) + (5/6) [multiplying the numerator and denominator of (10/12) by 2/2 to make it 20/24]

Step 4: Perform the addition within parentheses.

(3/8) + (5/6) = (9/24) + (20/24) = 29/24

So, the expression becomes:

11/8 × 12 + 17/12 ÷ (29/24) - 1/2

Step 5: Perform the division.

17/12 ÷ (29/24) can be simplified by multiplying the numerator by the reciprocal of the denominator:

(17/12) ÷ (29/24) = (17/12) × (24/29) = (17 × 24) / (12 × 29) = 408/348 = 34/29

So, the expression becomes:

11/8 × 12 + 34/29 - 1/2

Step 6: Perform the multiplication.

11/8 × 12 can be simplified by multiplying the numerators and denominators:

(11/8) × 12 = (11 × 12) / (8 × 1) = 132/8 = 33/2

So, the expression becomes:

33/2 + 34/29 - 1/2

Step 7: Perform the addition and subtraction.

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 2 × 29 = 58.

33/2 + 34/29 - 1/2 = (33/2) × (29/29) + (34/29) × (2/2) - (1/2) × (29/29) = (33 × 29) / (2 × 29) + (34 × 2) / (29 × 2) - 29/58 = 957/58 + 68/58 - 29/58 = (957 + 68 - 29) / 58 = 996/58 =